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Finding the Fourth Proportional to 12,081.38, 16,672.33 and 7,049.06

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Solution

The fourth proportional to 12,081.38, 16,672.33 and 7,049.06 is: 9,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.38 : 16,672.33 = 7,049.06 : x
  2. Step 2: Convert to fraction form
    12,081.38/16,672.33 = 7,049.06/x
  3. Step 3: Cross multiply
    12,081.38x = 16,672.33 × 7,049.06
  4. Step 4: Simplify right side
    12,081.38x = 117,524,153.53
  5. Step 5: Solve for x
    x = 117,524,153.53/12,081.38
  6. Step 6: Final answer
    x = 9,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.