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Finding the Fourth Proportional to 8,024.70, 12,039.13 and 3,092.71

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Solution

The fourth proportional to 8,024.70, 12,039.13 and 3,092.71 is: 4,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.70 : 12,039.13 = 3,092.71 : x
  2. Step 2: Convert to fraction form
    8,024.70/12,039.13 = 3,092.71/x
  3. Step 3: Cross multiply
    8,024.70x = 12,039.13 × 3,092.71
  4. Step 4: Simplify right side
    8,024.70x = 37,233,515.38
  5. Step 5: Solve for x
    x = 37,233,515.38/8,024.70
  6. Step 6: Final answer
    x = 4,639.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.