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Finding the Fourth Proportional to 8,344.38, 11,514.92 and 4,989.06

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Solution

The fourth proportional to 8,344.38, 11,514.92 and 4,989.06 is: 6,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.38 : 11,514.92 = 4,989.06 : x
  2. Step 2: Convert to fraction form
    8,344.38/11,514.92 = 4,989.06/x
  3. Step 3: Cross multiply
    8,344.38x = 11,514.92 × 4,989.06
  4. Step 4: Simplify right side
    8,344.38x = 57,448,626.78
  5. Step 5: Solve for x
    x = 57,448,626.78/8,344.38
  6. Step 6: Final answer
    x = 6,884.71

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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.