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Finding the Fourth Proportional to 6,866.42, 10,301.34 and 3,171.22

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Solution

The fourth proportional to 6,866.42, 10,301.34 and 3,171.22 is: 4,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.42 : 10,301.34 = 3,171.22 : x
  2. Step 2: Convert to fraction form
    6,866.42/10,301.34 = 3,171.22/x
  3. Step 3: Cross multiply
    6,866.42x = 10,301.34 × 3,171.22
  4. Step 4: Simplify right side
    6,866.42x = 32,667,815.43
  5. Step 5: Solve for x
    x = 32,667,815.43/6,866.42
  6. Step 6: Final answer
    x = 4,757.62

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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.