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Finding the Fourth Proportional to 10,616.18, 15,927.15 and 3,691.22

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Solution

The fourth proportional to 10,616.18, 15,927.15 and 3,691.22 is: 5,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.18 : 15,927.15 = 3,691.22 : x
  2. Step 2: Convert to fraction form
    10,616.18/15,927.15 = 3,691.22/x
  3. Step 3: Cross multiply
    10,616.18x = 15,927.15 × 3,691.22
  4. Step 4: Simplify right side
    10,616.18x = 58,790,614.62
  5. Step 5: Solve for x
    x = 58,790,614.62/10,616.18
  6. Step 6: Final answer
    x = 5,537.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.