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Finding the Fourth Proportional to 8,431.85, 12,649.15 and 3,167.27

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Solution

The fourth proportional to 8,431.85, 12,649.15 and 3,167.27 is: 4,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.85 : 12,649.15 = 3,167.27 : x
  2. Step 2: Convert to fraction form
    8,431.85/12,649.15 = 3,167.27/x
  3. Step 3: Cross multiply
    8,431.85x = 12,649.15 × 3,167.27
  4. Step 4: Simplify right side
    8,431.85x = 40,063,297.03
  5. Step 5: Solve for x
    x = 40,063,297.03/8,431.85
  6. Step 6: Final answer
    x = 4,751.42

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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.