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Finding the Fourth Proportional to 11,650.33, 17,481.88 and 5,413.28

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Solution

The fourth proportional to 11,650.33, 17,481.88 and 5,413.28 is: 8,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.33 : 17,481.88 = 5,413.28 : x
  2. Step 2: Convert to fraction form
    11,650.33/17,481.88 = 5,413.28/x
  3. Step 3: Cross multiply
    11,650.33x = 17,481.88 × 5,413.28
  4. Step 4: Simplify right side
    11,650.33x = 94,634,298.61
  5. Step 5: Solve for x
    x = 94,634,298.61/11,650.33
  6. Step 6: Final answer
    x = 8,122.88

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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.