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Finding the Fourth Proportional to 6,940.86, 10,413.12 and 2,010.96

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Solution

The fourth proportional to 6,940.86, 10,413.12 and 2,010.96 is: 3,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.86 : 10,413.12 = 2,010.96 : x
  2. Step 2: Convert to fraction form
    6,940.86/10,413.12 = 2,010.96/x
  3. Step 3: Cross multiply
    6,940.86x = 10,413.12 × 2,010.96
  4. Step 4: Simplify right side
    6,940.86x = 20,940,367.80
  5. Step 5: Solve for x
    x = 20,940,367.80/6,940.86
  6. Step 6: Final answer
    x = 3,016.97

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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.