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Finding the Fourth Proportional to 11,986.49, 17,989.37 and 5,413.25

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Solution

The fourth proportional to 11,986.49, 17,989.37 and 5,413.25 is: 8,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.49 : 17,989.37 = 5,413.25 : x
  2. Step 2: Convert to fraction form
    11,986.49/17,989.37 = 5,413.25/x
  3. Step 3: Cross multiply
    11,986.49x = 17,989.37 × 5,413.25
  4. Step 4: Simplify right side
    11,986.49x = 97,380,840.14
  5. Step 5: Solve for x
    x = 97,380,840.14/11,986.49
  6. Step 6: Final answer
    x = 8,124.22

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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.