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Finding the Fourth Proportional to 12,377.72, 17,078.49 and 7,339.38

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Solution

The fourth proportional to 12,377.72, 17,078.49 and 7,339.38 is: 10,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.72 : 17,078.49 = 7,339.38 : x
  2. Step 2: Convert to fraction form
    12,377.72/17,078.49 = 7,339.38/x
  3. Step 3: Cross multiply
    12,377.72x = 17,078.49 × 7,339.38
  4. Step 4: Simplify right side
    12,377.72x = 125,345,527.94
  5. Step 5: Solve for x
    x = 125,345,527.94/12,377.72
  6. Step 6: Final answer
    x = 10,126.71

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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.