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Finding the Fourth Proportional to 8,167.70, 12,250.09 and 2,163.82

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Solution

The fourth proportional to 8,167.70, 12,250.09 and 2,163.82 is: 3,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.70 : 12,250.09 = 2,163.82 : x
  2. Step 2: Convert to fraction form
    8,167.70/12,250.09 = 2,163.82/x
  3. Step 3: Cross multiply
    8,167.70x = 12,250.09 × 2,163.82
  4. Step 4: Simplify right side
    8,167.70x = 26,506,923.08
  5. Step 5: Solve for x
    x = 26,506,923.08/8,167.70
  6. Step 6: Final answer
    x = 3,245.34

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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.