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Finding the Fourth Proportional to 12,034.68, 16,608.48 and 6,729.39

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Solution

The fourth proportional to 12,034.68, 16,608.48 and 6,729.39 is: 9,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.68 : 16,608.48 = 6,729.39 : x
  2. Step 2: Convert to fraction form
    12,034.68/16,608.48 = 6,729.39/x
  3. Step 3: Cross multiply
    12,034.68x = 16,608.48 × 6,729.39
  4. Step 4: Simplify right side
    12,034.68x = 111,764,939.23
  5. Step 5: Solve for x
    x = 111,764,939.23/12,034.68
  6. Step 6: Final answer
    x = 9,286.91

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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.