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Finding the Fourth Proportional to 7,760.62, 10,722.20 and 5,413.24

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Solution

The fourth proportional to 7,760.62, 10,722.20 and 5,413.24 is: 7,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.62 : 10,722.20 = 5,413.24 : x
  2. Step 2: Convert to fraction form
    7,760.62/10,722.20 = 5,413.24/x
  3. Step 3: Cross multiply
    7,760.62x = 10,722.20 × 5,413.24
  4. Step 4: Simplify right side
    7,760.62x = 58,041,761.25
  5. Step 5: Solve for x
    x = 58,041,761.25/7,760.62
  6. Step 6: Final answer
    x = 7,479.02

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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.