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Finding the Fourth Proportional to 10,115.91, 15,141.42 and 5,424.12

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Solution

The fourth proportional to 10,115.91, 15,141.42 and 5,424.12 is: 8,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.91 : 15,141.42 = 5,424.12 : x
  2. Step 2: Convert to fraction form
    10,115.91/15,141.42 = 5,424.12/x
  3. Step 3: Cross multiply
    10,115.91x = 15,141.42 × 5,424.12
  4. Step 4: Simplify right side
    10,115.91x = 82,128,879.05
  5. Step 5: Solve for x
    x = 82,128,879.05/10,115.91
  6. Step 6: Final answer
    x = 8,118.78

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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.