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Finding the Fourth Proportional to 8,224.90, 12,339.17 and 3,839.97

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Solution

The fourth proportional to 8,224.90, 12,339.17 and 3,839.97 is: 5,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.90 : 12,339.17 = 3,839.97 : x
  2. Step 2: Convert to fraction form
    8,224.90/12,339.17 = 3,839.97/x
  3. Step 3: Cross multiply
    8,224.90x = 12,339.17 × 3,839.97
  4. Step 4: Simplify right side
    8,224.90x = 47,382,042.62
  5. Step 5: Solve for x
    x = 47,382,042.62/8,224.90
  6. Step 6: Final answer
    x = 5,760.80

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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.