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Finding the Fourth Proportional to 11,451.31, 17,171.03 and 6,772.75

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Solution

The fourth proportional to 11,451.31, 17,171.03 and 6,772.75 is: 10,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.31 : 17,171.03 = 6,772.75 : x
  2. Step 2: Convert to fraction form
    11,451.31/17,171.03 = 6,772.75/x
  3. Step 3: Cross multiply
    11,451.31x = 17,171.03 × 6,772.75
  4. Step 4: Simplify right side
    11,451.31x = 116,295,067.44
  5. Step 5: Solve for x
    x = 116,295,067.44/11,451.31
  6. Step 6: Final answer
    x = 10,155.61

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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.