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Finding the Fourth Proportional to 8,092.24, 12,143.22 and 3,411.96

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Solution

The fourth proportional to 8,092.24, 12,143.22 and 3,411.96 is: 5,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.24 : 12,143.22 = 3,411.96 : x
  2. Step 2: Convert to fraction form
    8,092.24/12,143.22 = 3,411.96/x
  3. Step 3: Cross multiply
    8,092.24x = 12,143.22 × 3,411.96
  4. Step 4: Simplify right side
    8,092.24x = 41,432,180.91
  5. Step 5: Solve for x
    x = 41,432,180.91/8,092.24
  6. Step 6: Final answer
    x = 5,119.99

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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.