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Finding the Fourth Proportional to 8,170.46, 12,255.89 and 2,327.12

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Solution

The fourth proportional to 8,170.46, 12,255.89 and 2,327.12 is: 3,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.46 : 12,255.89 = 2,327.12 : x
  2. Step 2: Convert to fraction form
    8,170.46/12,255.89 = 2,327.12/x
  3. Step 3: Cross multiply
    8,170.46x = 12,255.89 × 2,327.12
  4. Step 4: Simplify right side
    8,170.46x = 28,520,926.74
  5. Step 5: Solve for x
    x = 28,520,926.74/8,170.46
  6. Step 6: Final answer
    x = 3,490.74

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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.