Laverne starts counting out loud by 5's. She starts with 7. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 5000, Shirley runs screaming from the room. What number did Laverne last say before Shirley flees?

To find the number that Laverne last said before Shirley flees, we need to find the sum of the numbers Laverne says until the sum exceeds 5000.

Laverne starts counting out loud by 5's from 7, so we can write the sequence as follows:
7, 12, 17, 22, 27, 32, ...

We will keep adding these numbers until the sum exceeds 5000. Let's calculate the sum step by step:

Step 1: 7
Step 2: 7 + 12 = 19
Step 3: 19 + 17 = 36
Step 4: 36 + 22 = 58
Step 5: 58 + 27 = 85
Step 6: 85 + 32 = 117
Step 7: 117 + 37 = 154
Step 8: 154 + 42 = 196
Step 9: 196 + 47 = 243
Step 10: 243 + 52 = 295
Step 11: 295 + 57 = 352
Step 12: 352 + 62 = 414
Step 13: 414 + 67 = 481
Step 14: 481 + 72 = 553

Now we see that the sum has exceeded 5000 at step 14. Therefore, the number that Laverne last said before Shirley flees is 481.