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Finding the Fourth Proportional to 11,842.38, 17,759.90 and 4,049.38

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Solution

The fourth proportional to 11,842.38, 17,759.90 and 4,049.38 is: 6,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.38 : 17,759.90 = 4,049.38 : x
  2. Step 2: Convert to fraction form
    11,842.38/17,759.90 = 4,049.38/x
  3. Step 3: Cross multiply
    11,842.38x = 17,759.90 × 4,049.38
  4. Step 4: Simplify right side
    11,842.38x = 71,916,583.86
  5. Step 5: Solve for x
    x = 71,916,583.86/11,842.38
  6. Step 6: Final answer
    x = 6,072.82

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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.