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Finding the Fourth Proportional to 11,494.56, 17,239.96 and 4,097.92

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Solution

The fourth proportional to 11,494.56, 17,239.96 and 4,097.92 is: 6,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.56 : 17,239.96 = 4,097.92 : x
  2. Step 2: Convert to fraction form
    11,494.56/17,239.96 = 4,097.92/x
  3. Step 3: Cross multiply
    11,494.56x = 17,239.96 × 4,097.92
  4. Step 4: Simplify right side
    11,494.56x = 70,647,976.88
  5. Step 5: Solve for x
    x = 70,647,976.88/11,494.56
  6. Step 6: Final answer
    x = 6,146.21

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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.