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Finding the Fourth Proportional to 10,266.91, 15,400.14 and 2,871.22

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Solution

The fourth proportional to 10,266.91, 15,400.14 and 2,871.22 is: 4,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.91 : 15,400.14 = 2,871.22 : x
  2. Step 2: Convert to fraction form
    10,266.91/15,400.14 = 2,871.22/x
  3. Step 3: Cross multiply
    10,266.91x = 15,400.14 × 2,871.22
  4. Step 4: Simplify right side
    10,266.91x = 44,217,189.97
  5. Step 5: Solve for x
    x = 44,217,189.97/10,266.91
  6. Step 6: Final answer
    x = 4,306.77

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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.