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Finding the Fourth Proportional to 11,893.90, 17,841 and 5,654.54

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Solution

The fourth proportional to 11,893.90, 17,841 and 5,654.54 is: 8,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.90 : 17,841 = 5,654.54 : x
  2. Step 2: Convert to fraction form
    11,893.90/17,841 = 5,654.54/x
  3. Step 3: Cross multiply
    11,893.90x = 17,841 × 5,654.54
  4. Step 4: Simplify right side
    11,893.90x = 100,882,558.94
  5. Step 5: Solve for x
    x = 100,882,558.94/11,893.90
  6. Step 6: Final answer
    x = 8,481.88

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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.