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Finding the Fourth Proportional to 11,793.39, 16,262.19 and 8,434.95

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Solution

The fourth proportional to 11,793.39, 16,262.19 and 8,434.95 is: 11,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.39 : 16,262.19 = 8,434.95 : x
  2. Step 2: Convert to fraction form
    11,793.39/16,262.19 = 8,434.95/x
  3. Step 3: Cross multiply
    11,793.39x = 16,262.19 × 8,434.95
  4. Step 4: Simplify right side
    11,793.39x = 137,170,759.54
  5. Step 5: Solve for x
    x = 137,170,759.54/11,793.39
  6. Step 6: Final answer
    x = 11,631.16

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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.