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Finding the Fourth Proportional to 8,390.39, 11,578.74 and 4,613.61

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Solution

The fourth proportional to 8,390.39, 11,578.74 and 4,613.61 is: 6,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.39 : 11,578.74 = 4,613.61 : x
  2. Step 2: Convert to fraction form
    8,390.39/11,578.74 = 4,613.61/x
  3. Step 3: Cross multiply
    8,390.39x = 11,578.74 × 4,613.61
  4. Step 4: Simplify right side
    8,390.39x = 53,419,767.58
  5. Step 5: Solve for x
    x = 53,419,767.58/8,390.39
  6. Step 6: Final answer
    x = 6,366.78

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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.