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Finding the Fourth Proportional to 10,592.14, 15,889.20 and 3,571.86

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Solution

The fourth proportional to 10,592.14, 15,889.20 and 3,571.86 is: 5,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.14 : 15,889.20 = 3,571.86 : x
  2. Step 2: Convert to fraction form
    10,592.14/15,889.20 = 3,571.86/x
  3. Step 3: Cross multiply
    10,592.14x = 15,889.20 × 3,571.86
  4. Step 4: Simplify right side
    10,592.14x = 56,753,997.91
  5. Step 5: Solve for x
    x = 56,753,997.91/10,592.14
  6. Step 6: Final answer
    x = 5,358.12

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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.