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Finding the Fourth Proportional to 7,729.80, 11,608.92 and 4,034.52

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Solution

The fourth proportional to 7,729.80, 11,608.92 and 4,034.52 is: 6,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 11,608.92 = 4,034.52 : x
  2. Step 2: Convert to fraction form
    7,729.80/11,608.92 = 4,034.52/x
  3. Step 3: Cross multiply
    7,729.80x = 11,608.92 × 4,034.52
  4. Step 4: Simplify right side
    7,729.80x = 46,836,419.92
  5. Step 5: Solve for x
    x = 46,836,419.92/7,729.80
  6. Step 6: Final answer
    x = 6,059.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.