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Finding the Fourth Proportional to 8,022.82, 12,024.19 and 3,861.71

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Solution

The fourth proportional to 8,022.82, 12,024.19 and 3,861.71 is: 5,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.82 : 12,024.19 = 3,861.71 : x
  2. Step 2: Convert to fraction form
    8,022.82/12,024.19 = 3,861.71/x
  3. Step 3: Cross multiply
    8,022.82x = 12,024.19 × 3,861.71
  4. Step 4: Simplify right side
    8,022.82x = 46,433,915.46
  5. Step 5: Solve for x
    x = 46,433,915.46/8,022.82
  6. Step 6: Final answer
    x = 5,787.73

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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.