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Finding the Fourth Proportional to 7,342.80, 11,016.12 and 2,413.20

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Solution

The fourth proportional to 7,342.80, 11,016.12 and 2,413.20 is: 3,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.80 : 11,016.12 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    7,342.80/11,016.12 = 2,413.20/x
  3. Step 3: Cross multiply
    7,342.80x = 11,016.12 × 2,413.20
  4. Step 4: Simplify right side
    7,342.80x = 26,584,100.78
  5. Step 5: Solve for x
    x = 26,584,100.78/7,342.80
  6. Step 6: Final answer
    x = 3,620.43

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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.