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Finding the Fourth Proportional to 7,732.68, 10,671.29 and 4,195.88

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Solution

The fourth proportional to 7,732.68, 10,671.29 and 4,195.88 is: 5,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.68 : 10,671.29 = 4,195.88 : x
  2. Step 2: Convert to fraction form
    7,732.68/10,671.29 = 4,195.88/x
  3. Step 3: Cross multiply
    7,732.68x = 10,671.29 × 4,195.88
  4. Step 4: Simplify right side
    7,732.68x = 44,775,517.33
  5. Step 5: Solve for x
    x = 44,775,517.33/7,732.68
  6. Step 6: Final answer
    x = 5,790.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.