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Finding the Fourth Proportional to 10,471.38, 15,697.80 and 3,892.86

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Solution

The fourth proportional to 10,471.38, 15,697.80 and 3,892.86 is: 5,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.38 : 15,697.80 = 3,892.86 : x
  2. Step 2: Convert to fraction form
    10,471.38/15,697.80 = 3,892.86/x
  3. Step 3: Cross multiply
    10,471.38x = 15,697.80 × 3,892.86
  4. Step 4: Simplify right side
    10,471.38x = 61,109,337.71
  5. Step 5: Solve for x
    x = 61,109,337.71/10,471.38
  6. Step 6: Final answer
    x = 5,835.85

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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.