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Finding the Fourth Proportional to 11,611.92, 17,413.41 and 5,685.15

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Solution

The fourth proportional to 11,611.92, 17,413.41 and 5,685.15 is: 8,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.92 : 17,413.41 = 5,685.15 : x
  2. Step 2: Convert to fraction form
    11,611.92/17,413.41 = 5,685.15/x
  3. Step 3: Cross multiply
    11,611.92x = 17,413.41 × 5,685.15
  4. Step 4: Simplify right side
    11,611.92x = 98,997,847.86
  5. Step 5: Solve for x
    x = 98,997,847.86/11,611.92
  6. Step 6: Final answer
    x = 8,525.54

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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.