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Finding the Fourth Proportional to 10,502.16, 15,753.32 and 6,116.80

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Solution

The fourth proportional to 10,502.16, 15,753.32 and 6,116.80 is: 9,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.16 : 15,753.32 = 6,116.80 : x
  2. Step 2: Convert to fraction form
    10,502.16/15,753.32 = 6,116.80/x
  3. Step 3: Cross multiply
    10,502.16x = 15,753.32 × 6,116.80
  4. Step 4: Simplify right side
    10,502.16x = 96,359,907.78
  5. Step 5: Solve for x
    x = 96,359,907.78/10,502.16
  6. Step 6: Final answer
    x = 9,175.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.