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Finding the Fourth Proportional to 12,382.38, 17,087.73 and 6,717.15

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Solution

The fourth proportional to 12,382.38, 17,087.73 and 6,717.15 is: 9,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.38 : 17,087.73 = 6,717.15 : x
  2. Step 2: Convert to fraction form
    12,382.38/17,087.73 = 6,717.15/x
  3. Step 3: Cross multiply
    12,382.38x = 17,087.73 × 6,717.15
  4. Step 4: Simplify right side
    12,382.38x = 114,780,845.57
  5. Step 5: Solve for x
    x = 114,780,845.57/12,382.38
  6. Step 6: Final answer
    x = 9,269.69

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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.