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Finding the Fourth Proportional to 7,082.66, 10,614.27 and 3,612.62

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Solution

The fourth proportional to 7,082.66, 10,614.27 and 3,612.62 is: 5,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.66 : 10,614.27 = 3,612.62 : x
  2. Step 2: Convert to fraction form
    7,082.66/10,614.27 = 3,612.62/x
  3. Step 3: Cross multiply
    7,082.66x = 10,614.27 × 3,612.62
  4. Step 4: Simplify right side
    7,082.66x = 38,345,324.09
  5. Step 5: Solve for x
    x = 38,345,324.09/7,082.66
  6. Step 6: Final answer
    x = 5,413.97

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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.