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Finding the Fourth Proportional to 8,042.70, 12,067.49 and 3,363.80

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Solution

The fourth proportional to 8,042.70, 12,067.49 and 3,363.80 is: 5,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.70 : 12,067.49 = 3,363.80 : x
  2. Step 2: Convert to fraction form
    8,042.70/12,067.49 = 3,363.80/x
  3. Step 3: Cross multiply
    8,042.70x = 12,067.49 × 3,363.80
  4. Step 4: Simplify right side
    8,042.70x = 40,592,545.71
  5. Step 5: Solve for x
    x = 40,592,545.71/8,042.70
  6. Step 6: Final answer
    x = 5,047.13

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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.