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Finding the Fourth Proportional to 11,992.20, 17,992.62 and 5,413.38

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Solution

The fourth proportional to 11,992.20, 17,992.62 and 5,413.38 is: 8,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.20 : 17,992.62 = 5,413.38 : x
  2. Step 2: Convert to fraction form
    11,992.20/17,992.62 = 5,413.38/x
  3. Step 3: Cross multiply
    11,992.20x = 17,992.62 × 5,413.38
  4. Step 4: Simplify right side
    11,992.20x = 97,400,889.26
  5. Step 5: Solve for x
    x = 97,400,889.26/11,992.20
  6. Step 6: Final answer
    x = 8,122.02

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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.