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Finding the Fourth Proportional to 8,306.56, 11,452.04 and 6,711.42

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Solution

The fourth proportional to 8,306.56, 11,452.04 and 6,711.42 is: 9,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.56 : 11,452.04 = 6,711.42 : x
  2. Step 2: Convert to fraction form
    8,306.56/11,452.04 = 6,711.42/x
  3. Step 3: Cross multiply
    8,306.56x = 11,452.04 × 6,711.42
  4. Step 4: Simplify right side
    8,306.56x = 76,859,450.30
  5. Step 5: Solve for x
    x = 76,859,450.30/8,306.56
  6. Step 6: Final answer
    x = 9,252.87

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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.