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Finding the Fourth Proportional to 8,413.40, 12,619.56 and 3,481.76

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Solution

The fourth proportional to 8,413.40, 12,619.56 and 3,481.76 is: 5,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.40 : 12,619.56 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    8,413.40/12,619.56 = 3,481.76/x
  3. Step 3: Cross multiply
    8,413.40x = 12,619.56 × 3,481.76
  4. Step 4: Simplify right side
    8,413.40x = 43,938,279.23
  5. Step 5: Solve for x
    x = 43,938,279.23/8,413.40
  6. Step 6: Final answer
    x = 5,222.42

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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.