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Finding the Fourth Proportional to 10,809.36, 16,217.04 and 3,413.64

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Solution

The fourth proportional to 10,809.36, 16,217.04 and 3,413.64 is: 5,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.36 : 16,217.04 = 3,413.64 : x
  2. Step 2: Convert to fraction form
    10,809.36/16,217.04 = 3,413.64/x
  3. Step 3: Cross multiply
    10,809.36x = 16,217.04 × 3,413.64
  4. Step 4: Simplify right side
    10,809.36x = 55,359,136.43
  5. Step 5: Solve for x
    x = 55,359,136.43/10,809.36
  6. Step 6: Final answer
    x = 5,121.41

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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.