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Finding the Fourth Proportional to 11,874.28, 17,843.73 and 6,331.54

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Solution

The fourth proportional to 11,874.28, 17,843.73 and 6,331.54 is: 9,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.28 : 17,843.73 = 6,331.54 : x
  2. Step 2: Convert to fraction form
    11,874.28/17,843.73 = 6,331.54/x
  3. Step 3: Cross multiply
    11,874.28x = 17,843.73 × 6,331.54
  4. Step 4: Simplify right side
    11,874.28x = 112,978,290.24
  5. Step 5: Solve for x
    x = 112,978,290.24/11,874.28
  6. Step 6: Final answer
    x = 9,514.54

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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.