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Finding the Fourth Proportional to 11,874.50, 17,805.83 and 3,974.27

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Solution

The fourth proportional to 11,874.50, 17,805.83 and 3,974.27 is: 5,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.50 : 17,805.83 = 3,974.27 : x
  2. Step 2: Convert to fraction form
    11,874.50/17,805.83 = 3,974.27/x
  3. Step 3: Cross multiply
    11,874.50x = 17,805.83 × 3,974.27
  4. Step 4: Simplify right side
    11,874.50x = 70,765,067.09
  5. Step 5: Solve for x
    x = 70,765,067.09/11,874.50
  6. Step 6: Final answer
    x = 5,959.42

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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.