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Finding the Fourth Proportional to 8,522.27, 11,721.68 and 6,839.97

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Solution

The fourth proportional to 8,522.27, 11,721.68 and 6,839.97 is: 9,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.27 : 11,721.68 = 6,839.97 : x
  2. Step 2: Convert to fraction form
    8,522.27/11,721.68 = 6,839.97/x
  3. Step 3: Cross multiply
    8,522.27x = 11,721.68 × 6,839.97
  4. Step 4: Simplify right side
    8,522.27x = 80,175,905.35
  5. Step 5: Solve for x
    x = 80,175,905.35/8,522.27
  6. Step 6: Final answer
    x = 9,407.82

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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.