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Finding the Fourth Proportional to 12,077.67, 18,114.19 and 3,757.79

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Solution

The fourth proportional to 12,077.67, 18,114.19 and 3,757.79 is: 5,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.67 : 18,114.19 = 3,757.79 : x
  2. Step 2: Convert to fraction form
    12,077.67/18,114.19 = 3,757.79/x
  3. Step 3: Cross multiply
    12,077.67x = 18,114.19 × 3,757.79
  4. Step 4: Simplify right side
    12,077.67x = 68,069,212.68
  5. Step 5: Solve for x
    x = 68,069,212.68/12,077.67
  6. Step 6: Final answer
    x = 5,635.96

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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.