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Finding the Fourth Proportional to 7,732.80, 10,671.21 and 4,195.92

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Solution

The fourth proportional to 7,732.80, 10,671.21 and 4,195.92 is: 5,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.80 : 10,671.21 = 4,195.92 : x
  2. Step 2: Convert to fraction form
    7,732.80/10,671.21 = 4,195.92/x
  3. Step 3: Cross multiply
    7,732.80x = 10,671.21 × 4,195.92
  4. Step 4: Simplify right side
    7,732.80x = 44,775,543.46
  5. Step 5: Solve for x
    x = 44,775,543.46/7,732.80
  6. Step 6: Final answer
    x = 5,790.34

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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.