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Finding the Fourth Proportional to 8,343.27, 12,516.73 and 3,413.41

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Solution

The fourth proportional to 8,343.27, 12,516.73 and 3,413.41 is: 5,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.27 : 12,516.73 = 3,413.41 : x
  2. Step 2: Convert to fraction form
    8,343.27/12,516.73 = 3,413.41/x
  3. Step 3: Cross multiply
    8,343.27x = 12,516.73 × 3,413.41
  4. Step 4: Simplify right side
    8,343.27x = 42,724,691.52
  5. Step 5: Solve for x
    x = 42,724,691.52/8,343.27
  6. Step 6: Final answer
    x = 5,120.86

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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.