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Finding the Fourth Proportional to 11,843.96, 17,757.70 and 5,996.57

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Solution

The fourth proportional to 11,843.96, 17,757.70 and 5,996.57 is: 8,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.96 : 17,757.70 = 5,996.57 : x
  2. Step 2: Convert to fraction form
    11,843.96/17,757.70 = 5,996.57/x
  3. Step 3: Cross multiply
    11,843.96x = 17,757.70 × 5,996.57
  4. Step 4: Simplify right side
    11,843.96x = 106,485,187.31
  5. Step 5: Solve for x
    x = 106,485,187.31/11,843.96
  6. Step 6: Final answer
    x = 8,990.68

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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.