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Finding the Fourth Proportional to 11,644.28, 17,469.64 and 3,858.56

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Solution

The fourth proportional to 11,644.28, 17,469.64 and 3,858.56 is: 5,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.28 : 17,469.64 = 3,858.56 : x
  2. Step 2: Convert to fraction form
    11,644.28/17,469.64 = 3,858.56/x
  3. Step 3: Cross multiply
    11,644.28x = 17,469.64 × 3,858.56
  4. Step 4: Simplify right side
    11,644.28x = 67,407,654.12
  5. Step 5: Solve for x
    x = 67,407,654.12/11,644.28
  6. Step 6: Final answer
    x = 5,788.91

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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.