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Finding the Fourth Proportional to 8,367.31, 12,542.81 and 3,983.59

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Solution

The fourth proportional to 8,367.31, 12,542.81 and 3,983.59 is: 5,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.31 : 12,542.81 = 3,983.59 : x
  2. Step 2: Convert to fraction form
    8,367.31/12,542.81 = 3,983.59/x
  3. Step 3: Cross multiply
    8,367.31x = 12,542.81 × 3,983.59
  4. Step 4: Simplify right side
    8,367.31x = 49,965,392.57
  5. Step 5: Solve for x
    x = 49,965,392.57/8,367.31
  6. Step 6: Final answer
    x = 5,971.50

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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.