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Finding the Fourth Proportional to 11,311.93, 16,969.31 and 3,413.21

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Solution

The fourth proportional to 11,311.93, 16,969.31 and 3,413.21 is: 5,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.93 : 16,969.31 = 3,413.21 : x
  2. Step 2: Convert to fraction form
    11,311.93/16,969.31 = 3,413.21/x
  3. Step 3: Cross multiply
    11,311.93x = 16,969.31 × 3,413.21
  4. Step 4: Simplify right side
    11,311.93x = 57,919,818.59
  5. Step 5: Solve for x
    x = 57,919,818.59/11,311.93
  6. Step 6: Final answer
    x = 5,120.24

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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.