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Finding the Fourth Proportional to 10,871.28, 16,269.86 and 7,540.65

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Solution

The fourth proportional to 10,871.28, 16,269.86 and 7,540.65 is: 11,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.28 : 16,269.86 = 7,540.65 : x
  2. Step 2: Convert to fraction form
    10,871.28/16,269.86 = 7,540.65/x
  3. Step 3: Cross multiply
    10,871.28x = 16,269.86 × 7,540.65
  4. Step 4: Simplify right side
    10,871.28x = 122,685,282.11
  5. Step 5: Solve for x
    x = 122,685,282.11/10,871.28
  6. Step 6: Final answer
    x = 11,285.27

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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.