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Finding the Fourth Proportional to 8,474.33, 11,691.78 and 5,115.87

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Solution

The fourth proportional to 8,474.33, 11,691.78 and 5,115.87 is: 7,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.33 : 11,691.78 = 5,115.87 : x
  2. Step 2: Convert to fraction form
    8,474.33/11,691.78 = 5,115.87/x
  3. Step 3: Cross multiply
    8,474.33x = 11,691.78 × 5,115.87
  4. Step 4: Simplify right side
    8,474.33x = 59,813,626.55
  5. Step 5: Solve for x
    x = 59,813,626.55/8,474.33
  6. Step 6: Final answer
    x = 7,058.21

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Why These Related Problems?

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