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Finding the Fourth Proportional to 12,034.82, 16,608 and 6,729.67

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Solution

The fourth proportional to 12,034.82, 16,608 and 6,729.67 is: 9,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.82 : 16,608 = 6,729.67 : x
  2. Step 2: Convert to fraction form
    12,034.82/16,608 = 6,729.67/x
  3. Step 3: Cross multiply
    12,034.82x = 16,608 × 6,729.67
  4. Step 4: Simplify right side
    12,034.82x = 111,766,359.36
  5. Step 5: Solve for x
    x = 111,766,359.36/12,034.82
  6. Step 6: Final answer
    x = 9,286.92

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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.