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Finding the Fourth Proportional to 7,732.97, 10,671.40 and 4,196.31

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Solution

The fourth proportional to 7,732.97, 10,671.40 and 4,196.31 is: 5,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.97 : 10,671.40 = 4,196.31 : x
  2. Step 2: Convert to fraction form
    7,732.97/10,671.40 = 4,196.31/x
  3. Step 3: Cross multiply
    7,732.97x = 10,671.40 × 4,196.31
  4. Step 4: Simplify right side
    7,732.97x = 44,780,444.16
  5. Step 5: Solve for x
    x = 44,780,444.16/7,732.97
  6. Step 6: Final answer
    x = 5,790.85

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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.