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Finding the Fourth Proportional to 8,167.43, 11,269.33 and 5,338.97

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Solution

The fourth proportional to 8,167.43, 11,269.33 and 5,338.97 is: 7,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.43 : 11,269.33 = 5,338.97 : x
  2. Step 2: Convert to fraction form
    8,167.43/11,269.33 = 5,338.97/x
  3. Step 3: Cross multiply
    8,167.43x = 11,269.33 × 5,338.97
  4. Step 4: Simplify right side
    8,167.43x = 60,166,571.79
  5. Step 5: Solve for x
    x = 60,166,571.79/8,167.43
  6. Step 6: Final answer
    x = 7,366.65

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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.