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Finding the Fourth Proportional to 7,649.80, 10,571.24 and 6,515.30

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Solution

The fourth proportional to 7,649.80, 10,571.24 and 6,515.30 is: 9,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.80 : 10,571.24 = 6,515.30 : x
  2. Step 2: Convert to fraction form
    7,649.80/10,571.24 = 6,515.30/x
  3. Step 3: Cross multiply
    7,649.80x = 10,571.24 × 6,515.30
  4. Step 4: Simplify right side
    7,649.80x = 68,874,799.97
  5. Step 5: Solve for x
    x = 68,874,799.97/7,649.80
  6. Step 6: Final answer
    x = 9,003.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.