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Finding the Fourth Proportional to 8,102.70, 12,149.19 and 3,166.46

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Solution

The fourth proportional to 8,102.70, 12,149.19 and 3,166.46 is: 4,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.70 : 12,149.19 = 3,166.46 : x
  2. Step 2: Convert to fraction form
    8,102.70/12,149.19 = 3,166.46/x
  3. Step 3: Cross multiply
    8,102.70x = 12,149.19 × 3,166.46
  4. Step 4: Simplify right side
    8,102.70x = 38,469,908.98
  5. Step 5: Solve for x
    x = 38,469,908.98/8,102.70
  6. Step 6: Final answer
    x = 4,747.79

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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.