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Finding the Fourth Proportional to 8,239.54, 12,344.91 and 6,861.74

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Solution

The fourth proportional to 8,239.54, 12,344.91 and 6,861.74 is: 10,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.54 : 12,344.91 = 6,861.74 : x
  2. Step 2: Convert to fraction form
    8,239.54/12,344.91 = 6,861.74/x
  3. Step 3: Cross multiply
    8,239.54x = 12,344.91 × 6,861.74
  4. Step 4: Simplify right side
    8,239.54x = 84,707,562.74
  5. Step 5: Solve for x
    x = 84,707,562.74/8,239.54
  6. Step 6: Final answer
    x = 10,280.62

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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.