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Finding the Fourth Proportional to 8,106.90, 12,158.97 and 2,262.15

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Solution

The fourth proportional to 8,106.90, 12,158.97 and 2,262.15 is: 3,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.90 : 12,158.97 = 2,262.15 : x
  2. Step 2: Convert to fraction form
    8,106.90/12,158.97 = 2,262.15/x
  3. Step 3: Cross multiply
    8,106.90x = 12,158.97 × 2,262.15
  4. Step 4: Simplify right side
    8,106.90x = 27,505,413.99
  5. Step 5: Solve for x
    x = 27,505,413.99/8,106.90
  6. Step 6: Final answer
    x = 3,392.84

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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.