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Finding the Fourth Proportional to 8,211.62, 12,318.03 and 2,665.85

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Solution

The fourth proportional to 8,211.62, 12,318.03 and 2,665.85 is: 3,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.62 : 12,318.03 = 2,665.85 : x
  2. Step 2: Convert to fraction form
    8,211.62/12,318.03 = 2,665.85/x
  3. Step 3: Cross multiply
    8,211.62x = 12,318.03 × 2,665.85
  4. Step 4: Simplify right side
    8,211.62x = 32,838,020.28
  5. Step 5: Solve for x
    x = 32,838,020.28/8,211.62
  6. Step 6: Final answer
    x = 3,998.97

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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.