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Finding the Fourth Proportional to 8,367.85, 12,552.10 and 2,524.46

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Solution

The fourth proportional to 8,367.85, 12,552.10 and 2,524.46 is: 3,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.85 : 12,552.10 = 2,524.46 : x
  2. Step 2: Convert to fraction form
    8,367.85/12,552.10 = 2,524.46/x
  3. Step 3: Cross multiply
    8,367.85x = 12,552.10 × 2,524.46
  4. Step 4: Simplify right side
    8,367.85x = 31,687,198.98
  5. Step 5: Solve for x
    x = 31,687,198.98/8,367.85
  6. Step 6: Final answer
    x = 3,786.78

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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.