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Finding the Fourth Proportional to 7,171.61, 10,760.45 and 3,886.97

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Solution

The fourth proportional to 7,171.61, 10,760.45 and 3,886.97 is: 5,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.61 : 10,760.45 = 3,886.97 : x
  2. Step 2: Convert to fraction form
    7,171.61/10,760.45 = 3,886.97/x
  3. Step 3: Cross multiply
    7,171.61x = 10,760.45 × 3,886.97
  4. Step 4: Simplify right side
    7,171.61x = 41,825,473.10
  5. Step 5: Solve for x
    x = 41,825,473.10/7,171.61
  6. Step 6: Final answer
    x = 5,832.09

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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.