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Finding the Fourth Proportional to 10,849.08, 16,251.78 and 8,221.08

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Solution

The fourth proportional to 10,849.08, 16,251.78 and 8,221.08 is: 12,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.08 : 16,251.78 = 8,221.08 : x
  2. Step 2: Convert to fraction form
    10,849.08/16,251.78 = 8,221.08/x
  3. Step 3: Cross multiply
    10,849.08x = 16,251.78 × 8,221.08
  4. Step 4: Simplify right side
    10,849.08x = 133,607,183.52
  5. Step 5: Solve for x
    x = 133,607,183.52/10,849.08
  6. Step 6: Final answer
    x = 12,315.07

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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.