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Finding the Fourth Proportional to 10,872.14, 16,313.68 and 8,104.37

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Solution

The fourth proportional to 10,872.14, 16,313.68 and 8,104.37 is: 12,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.14 : 16,313.68 = 8,104.37 : x
  2. Step 2: Convert to fraction form
    10,872.14/16,313.68 = 8,104.37/x
  3. Step 3: Cross multiply
    10,872.14x = 16,313.68 × 8,104.37
  4. Step 4: Simplify right side
    10,872.14x = 132,212,098.78
  5. Step 5: Solve for x
    x = 132,212,098.78/10,872.14
  6. Step 6: Final answer
    x = 12,160.63

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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.