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Finding the Fourth Proportional to 8,192.43, 12,287.43 and 4,031.31

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Solution

The fourth proportional to 8,192.43, 12,287.43 and 4,031.31 is: 6,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.43 : 12,287.43 = 4,031.31 : x
  2. Step 2: Convert to fraction form
    8,192.43/12,287.43 = 4,031.31/x
  3. Step 3: Cross multiply
    8,192.43x = 12,287.43 × 4,031.31
  4. Step 4: Simplify right side
    8,192.43x = 49,534,439.43
  5. Step 5: Solve for x
    x = 49,534,439.43/8,192.43
  6. Step 6: Final answer
    x = 6,046.37

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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.