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Finding the Fourth Proportional to 8,291.95, 12,436.07 and 2,447.19

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Solution

The fourth proportional to 8,291.95, 12,436.07 and 2,447.19 is: 3,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.95 : 12,436.07 = 2,447.19 : x
  2. Step 2: Convert to fraction form
    8,291.95/12,436.07 = 2,447.19/x
  3. Step 3: Cross multiply
    8,291.95x = 12,436.07 × 2,447.19
  4. Step 4: Simplify right side
    8,291.95x = 30,433,413.91
  5. Step 5: Solve for x
    x = 30,433,413.91/8,291.95
  6. Step 6: Final answer
    x = 3,670.24

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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.