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Finding the Fourth Proportional to 7,760.68, 10,722.27 and 5,413.30

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Solution

The fourth proportional to 7,760.68, 10,722.27 and 5,413.30 is: 7,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.68 : 10,722.27 = 5,413.30 : x
  2. Step 2: Convert to fraction form
    7,760.68/10,722.27 = 5,413.30/x
  3. Step 3: Cross multiply
    7,760.68x = 10,722.27 × 5,413.30
  4. Step 4: Simplify right side
    7,760.68x = 58,042,857.69
  5. Step 5: Solve for x
    x = 58,042,857.69/7,760.68
  6. Step 6: Final answer
    x = 7,479.10

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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.