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Finding the Fourth Proportional to 8,096.43, 12,138.09 and 3,413.41

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Solution

The fourth proportional to 8,096.43, 12,138.09 and 3,413.41 is: 5,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.43 : 12,138.09 = 3,413.41 : x
  2. Step 2: Convert to fraction form
    8,096.43/12,138.09 = 3,413.41/x
  3. Step 3: Cross multiply
    8,096.43x = 12,138.09 × 3,413.41
  4. Step 4: Simplify right side
    8,096.43x = 41,432,277.79
  5. Step 5: Solve for x
    x = 41,432,277.79/8,096.43
  6. Step 6: Final answer
    x = 5,117.35

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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.