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Finding the Fourth Proportional to 11,640.75, 17,468.81 and 5,485.23

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Solution

The fourth proportional to 11,640.75, 17,468.81 and 5,485.23 is: 8,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.75 : 17,468.81 = 5,485.23 : x
  2. Step 2: Convert to fraction form
    11,640.75/17,468.81 = 5,485.23/x
  3. Step 3: Cross multiply
    11,640.75x = 17,468.81 × 5,485.23
  4. Step 4: Simplify right side
    11,640.75x = 95,820,413.25
  5. Step 5: Solve for x
    x = 95,820,413.25/11,640.75
  6. Step 6: Final answer
    x = 8,231.46

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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.