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Finding the Fourth Proportional to 11,449.74, 17,177.04 and 3,659.16

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Solution

The fourth proportional to 11,449.74, 17,177.04 and 3,659.16 is: 5,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.74 : 17,177.04 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    11,449.74/17,177.04 = 3,659.16/x
  3. Step 3: Cross multiply
    11,449.74x = 17,177.04 × 3,659.16
  4. Step 4: Simplify right side
    11,449.74x = 62,853,537.69
  5. Step 5: Solve for x
    x = 62,853,537.69/11,449.74
  6. Step 6: Final answer
    x = 5,489.52

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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.