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Finding the Fourth Proportional to 10,811.09, 16,218.23 and 3,413.88

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Solution

The fourth proportional to 10,811.09, 16,218.23 and 3,413.88 is: 5,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.09 : 16,218.23 = 3,413.88 : x
  2. Step 2: Convert to fraction form
    10,811.09/16,218.23 = 3,413.88/x
  3. Step 3: Cross multiply
    10,811.09x = 16,218.23 × 3,413.88
  4. Step 4: Simplify right side
    10,811.09x = 55,367,073.96
  5. Step 5: Solve for x
    x = 55,367,073.96/10,811.09
  6. Step 6: Final answer
    x = 5,121.32

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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.