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Finding the Fourth Proportional to 27,520.56, 41,280.72 and 6,744

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Solution

The fourth proportional to 27,520.56, 41,280.72 and 6,744 is: 10,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.56 : 41,280.72 = 6,744 : x
  2. Step 2: Convert to fraction form
    27,520.56/41,280.72 = 6,744/x
  3. Step 3: Cross multiply
    27,520.56x = 41,280.72 × 6,744
  4. Step 4: Simplify right side
    27,520.56x = 278,397,175.68
  5. Step 5: Solve for x
    x = 278,397,175.68/27,520.56
  6. Step 6: Final answer
    x = 10,115.97

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