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Finding the Fourth Proportional to 7,151.75, 10,730.17 and 3,202.70

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Solution

The fourth proportional to 7,151.75, 10,730.17 and 3,202.70 is: 4,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.75 : 10,730.17 = 3,202.70 : x
  2. Step 2: Convert to fraction form
    7,151.75/10,730.17 = 3,202.70/x
  3. Step 3: Cross multiply
    7,151.75x = 10,730.17 × 3,202.70
  4. Step 4: Simplify right side
    7,151.75x = 34,365,508.15
  5. Step 5: Solve for x
    x = 34,365,508.15/7,151.75
  6. Step 6: Final answer
    x = 4,805.19

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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.