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Finding the Fourth Proportional to 8,294.38, 11,446.24 and 5,150.56

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Solution

The fourth proportional to 8,294.38, 11,446.24 and 5,150.56 is: 7,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.38 : 11,446.24 = 5,150.56 : x
  2. Step 2: Convert to fraction form
    8,294.38/11,446.24 = 5,150.56/x
  3. Step 3: Cross multiply
    8,294.38x = 11,446.24 × 5,150.56
  4. Step 4: Simplify right side
    8,294.38x = 58,954,545.89
  5. Step 5: Solve for x
    x = 58,954,545.89/8,294.38
  6. Step 6: Final answer
    x = 7,107.77

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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.