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Finding the Fourth Proportional to 8,049.29, 12,077.39 and 3,892.42

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Solution

The fourth proportional to 8,049.29, 12,077.39 and 3,892.42 is: 5,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.29 : 12,077.39 = 3,892.42 : x
  2. Step 2: Convert to fraction form
    8,049.29/12,077.39 = 3,892.42/x
  3. Step 3: Cross multiply
    8,049.29x = 12,077.39 × 3,892.42
  4. Step 4: Simplify right side
    8,049.29x = 47,010,299.21
  5. Step 5: Solve for x
    x = 47,010,299.21/8,049.29
  6. Step 6: Final answer
    x = 5,840.31

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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.