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Finding the Fourth Proportional to 8,180.62, 11,304.57 and 6,687.97

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Solution

The fourth proportional to 8,180.62, 11,304.57 and 6,687.97 is: 9,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.62 : 11,304.57 = 6,687.97 : x
  2. Step 2: Convert to fraction form
    8,180.62/11,304.57 = 6,687.97/x
  3. Step 3: Cross multiply
    8,180.62x = 11,304.57 × 6,687.97
  4. Step 4: Simplify right side
    8,180.62x = 75,604,625.02
  5. Step 5: Solve for x
    x = 75,604,625.02/8,180.62
  6. Step 6: Final answer
    x = 9,241.92

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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.