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Finding the Fourth Proportional to 10,520.56, 15,753.92 and 10,209.12

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Solution

The fourth proportional to 10,520.56, 15,753.92 and 10,209.12 is: 15,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.56 : 15,753.92 = 10,209.12 : x
  2. Step 2: Convert to fraction form
    10,520.56/15,753.92 = 10,209.12/x
  3. Step 3: Cross multiply
    10,520.56x = 15,753.92 × 10,209.12
  4. Step 4: Simplify right side
    10,520.56x = 160,833,659.75
  5. Step 5: Solve for x
    x = 160,833,659.75/10,520.56
  6. Step 6: Final answer
    x = 15,287.56

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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.