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Finding the Fourth Proportional to 8,102.59, 12,149.03 and 3,166.35

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Solution

The fourth proportional to 8,102.59, 12,149.03 and 3,166.35 is: 4,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.59 : 12,149.03 = 3,166.35 : x
  2. Step 2: Convert to fraction form
    8,102.59/12,149.03 = 3,166.35/x
  3. Step 3: Cross multiply
    8,102.59x = 12,149.03 × 3,166.35
  4. Step 4: Simplify right side
    8,102.59x = 38,468,065.31
  5. Step 5: Solve for x
    x = 38,468,065.31/8,102.59
  6. Step 6: Final answer
    x = 4,747.63

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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.