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Finding the Fourth Proportional to 8,163.92, 12,244.02 and 2,319.08

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Solution

The fourth proportional to 8,163.92, 12,244.02 and 2,319.08 is: 3,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.92 : 12,244.02 = 2,319.08 : x
  2. Step 2: Convert to fraction form
    8,163.92/12,244.02 = 2,319.08/x
  3. Step 3: Cross multiply
    8,163.92x = 12,244.02 × 2,319.08
  4. Step 4: Simplify right side
    8,163.92x = 28,394,861.90
  5. Step 5: Solve for x
    x = 28,394,861.90/8,163.92
  6. Step 6: Final answer
    x = 3,478.09

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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.