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Finding the Fourth Proportional to 11,171.82, 16,760.46 and 7,891.32

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Solution

The fourth proportional to 11,171.82, 16,760.46 and 7,891.32 is: 11,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.82 : 16,760.46 = 7,891.32 : x
  2. Step 2: Convert to fraction form
    11,171.82/16,760.46 = 7,891.32/x
  3. Step 3: Cross multiply
    11,171.82x = 16,760.46 × 7,891.32
  4. Step 4: Simplify right side
    11,171.82x = 132,262,153.21
  5. Step 5: Solve for x
    x = 132,262,153.21/11,171.82
  6. Step 6: Final answer
    x = 11,838.91

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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.