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Finding the Fourth Proportional to 8,092.17, 12,138.30 and 3,163.23

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Solution

The fourth proportional to 8,092.17, 12,138.30 and 3,163.23 is: 4,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.17 : 12,138.30 = 3,163.23 : x
  2. Step 2: Convert to fraction form
    8,092.17/12,138.30 = 3,163.23/x
  3. Step 3: Cross multiply
    8,092.17x = 12,138.30 × 3,163.23
  4. Step 4: Simplify right side
    8,092.17x = 38,396,234.71
  5. Step 5: Solve for x
    x = 38,396,234.71/8,092.17
  6. Step 6: Final answer
    x = 4,744.86

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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.