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Finding the Fourth Proportional to 11,893.97, 17,843.00 and 3,997.24

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Solution

The fourth proportional to 11,893.97, 17,843.00 and 3,997.24 is: 5,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.97 : 17,843.00 = 3,997.24 : x
  2. Step 2: Convert to fraction form
    11,893.97/17,843.00 = 3,997.24/x
  3. Step 3: Cross multiply
    11,893.97x = 17,843.00 × 3,997.24
  4. Step 4: Simplify right side
    11,893.97x = 71,322,644.12
  5. Step 5: Solve for x
    x = 71,322,644.12/11,893.97
  6. Step 6: Final answer
    x = 5,996.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.