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Finding the Fourth Proportional to 8,413.82, 12,601.28 and 8,122.22

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Solution

The fourth proportional to 8,413.82, 12,601.28 and 8,122.22 is: 12,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.82 : 12,601.28 = 8,122.22 : x
  2. Step 2: Convert to fraction form
    8,413.82/12,601.28 = 8,122.22/x
  3. Step 3: Cross multiply
    8,413.82x = 12,601.28 × 8,122.22
  4. Step 4: Simplify right side
    8,413.82x = 102,350,368.44
  5. Step 5: Solve for x
    x = 102,350,368.44/8,413.82
  6. Step 6: Final answer
    x = 12,164.55

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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.