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Finding the Fourth Proportional to 7,729.38, 11,594.07 and 3,836.52

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Solution

The fourth proportional to 7,729.38, 11,594.07 and 3,836.52 is: 5,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.38 : 11,594.07 = 3,836.52 : x
  2. Step 2: Convert to fraction form
    7,729.38/11,594.07 = 3,836.52/x
  3. Step 3: Cross multiply
    7,729.38x = 11,594.07 × 3,836.52
  4. Step 4: Simplify right side
    7,729.38x = 44,480,881.44
  5. Step 5: Solve for x
    x = 44,480,881.44/7,729.38
  6. Step 6: Final answer
    x = 5,754.78

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