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Finding the Fourth Proportional to 8,391.92, 11,560.82 and 5,869.30

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Solution

The fourth proportional to 8,391.92, 11,560.82 and 5,869.30 is: 8,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.92 : 11,560.82 = 5,869.30 : x
  2. Step 2: Convert to fraction form
    8,391.92/11,560.82 = 5,869.30/x
  3. Step 3: Cross multiply
    8,391.92x = 11,560.82 × 5,869.30
  4. Step 4: Simplify right side
    8,391.92x = 67,853,920.83
  5. Step 5: Solve for x
    x = 67,853,920.83/8,391.92
  6. Step 6: Final answer
    x = 8,085.63

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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.