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Finding the Fourth Proportional to 8,167.86, 12,255.84 and 3,237.39

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Solution

The fourth proportional to 8,167.86, 12,255.84 and 3,237.39 is: 4,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.86 : 12,255.84 = 3,237.39 : x
  2. Step 2: Convert to fraction form
    8,167.86/12,255.84 = 3,237.39/x
  3. Step 3: Cross multiply
    8,167.86x = 12,255.84 × 3,237.39
  4. Step 4: Simplify right side
    8,167.86x = 39,676,933.86
  5. Step 5: Solve for x
    x = 39,676,933.86/8,167.86
  6. Step 6: Final answer
    x = 4,857.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.