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Finding the Fourth Proportional to 8,114.57, 12,171.82 and 3,180.72

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Solution

The fourth proportional to 8,114.57, 12,171.82 and 3,180.72 is: 4,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.57 : 12,171.82 = 3,180.72 : x
  2. Step 2: Convert to fraction form
    8,114.57/12,171.82 = 3,180.72/x
  3. Step 3: Cross multiply
    8,114.57x = 12,171.82 × 3,180.72
  4. Step 4: Simplify right side
    8,114.57x = 38,715,151.31
  5. Step 5: Solve for x
    x = 38,715,151.31/8,114.57
  6. Step 6: Final answer
    x = 4,771.07

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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.