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Finding the Fourth Proportional to 10,882.44, 16,329.14 and 8,114.68

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Solution

The fourth proportional to 10,882.44, 16,329.14 and 8,114.68 is: 12,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.44 : 16,329.14 = 8,114.68 : x
  2. Step 2: Convert to fraction form
    10,882.44/16,329.14 = 8,114.68/x
  3. Step 3: Cross multiply
    10,882.44x = 16,329.14 × 8,114.68
  4. Step 4: Simplify right side
    10,882.44x = 132,505,745.78
  5. Step 5: Solve for x
    x = 132,505,745.78/10,882.44
  6. Step 6: Final answer
    x = 12,176.11

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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.