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Finding the Fourth Proportional to 10,502.48, 15,753.60 and 2,711.12

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Solution

The fourth proportional to 10,502.48, 15,753.60 and 2,711.12 is: 4,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.48 : 15,753.60 = 2,711.12 : x
  2. Step 2: Convert to fraction form
    10,502.48/15,753.60 = 2,711.12/x
  3. Step 3: Cross multiply
    10,502.48x = 15,753.60 × 2,711.12
  4. Step 4: Simplify right side
    10,502.48x = 42,709,900.03
  5. Step 5: Solve for x
    x = 42,709,900.03/10,502.48
  6. Step 6: Final answer
    x = 4,066.65

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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.