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Finding the Fourth Proportional to 8,367.80, 12,550.82 and 3,437.96

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Solution

The fourth proportional to 8,367.80, 12,550.82 and 3,437.96 is: 5,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.80 : 12,550.82 = 3,437.96 : x
  2. Step 2: Convert to fraction form
    8,367.80/12,550.82 = 3,437.96/x
  3. Step 3: Cross multiply
    8,367.80x = 12,550.82 × 3,437.96
  4. Step 4: Simplify right side
    8,367.80x = 43,149,217.13
  5. Step 5: Solve for x
    x = 43,149,217.13/8,367.80
  6. Step 6: Final answer
    x = 5,156.58

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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.