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Finding the Fourth Proportional to 7,171.72, 10,753.88 and 3,219.58

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Solution

The fourth proportional to 7,171.72, 10,753.88 and 3,219.58 is: 4,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.72 : 10,753.88 = 3,219.58 : x
  2. Step 2: Convert to fraction form
    7,171.72/10,753.88 = 3,219.58/x
  3. Step 3: Cross multiply
    7,171.72x = 10,753.88 × 3,219.58
  4. Step 4: Simplify right side
    7,171.72x = 34,622,976.97
  5. Step 5: Solve for x
    x = 34,622,976.97/7,171.72
  6. Step 6: Final answer
    x = 4,827.71

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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.