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Finding the Fourth Proportional to 10,115.92, 13,956.20 and 5,865.44

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Solution

The fourth proportional to 10,115.92, 13,956.20 and 5,865.44 is: 8,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.92 : 13,956.20 = 5,865.44 : x
  2. Step 2: Convert to fraction form
    10,115.92/13,956.20 = 5,865.44/x
  3. Step 3: Cross multiply
    10,115.92x = 13,956.20 × 5,865.44
  4. Step 4: Simplify right side
    10,115.92x = 81,859,253.73
  5. Step 5: Solve for x
    x = 81,859,253.73/10,115.92
  6. Step 6: Final answer
    x = 8,092.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.