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Finding the Fourth Proportional to 12,378.52, 17,082.38 and 6,789.56

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Solution

The fourth proportional to 12,378.52, 17,082.38 and 6,789.56 is: 9,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.52 : 17,082.38 = 6,789.56 : x
  2. Step 2: Convert to fraction form
    12,378.52/17,082.38 = 6,789.56/x
  3. Step 3: Cross multiply
    12,378.52x = 17,082.38 × 6,789.56
  4. Step 4: Simplify right side
    12,378.52x = 115,981,843.95
  5. Step 5: Solve for x
    x = 115,981,843.95/12,378.52
  6. Step 6: Final answer
    x = 9,369.61

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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.