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Finding the Fourth Proportional to 10,940.20, 16,413.18 and 3,149.64

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Solution

The fourth proportional to 10,940.20, 16,413.18 and 3,149.64 is: 4,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.20 : 16,413.18 = 3,149.64 : x
  2. Step 2: Convert to fraction form
    10,940.20/16,413.18 = 3,149.64/x
  3. Step 3: Cross multiply
    10,940.20x = 16,413.18 × 3,149.64
  4. Step 4: Simplify right side
    10,940.20x = 51,695,608.26
  5. Step 5: Solve for x
    x = 51,695,608.26/10,940.20
  6. Step 6: Final answer
    x = 4,725.29

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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.