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Finding the Fourth Proportional to 8,126.19, 12,194.78 and 3,968.19

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Solution

The fourth proportional to 8,126.19, 12,194.78 and 3,968.19 is: 5,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.19 : 12,194.78 = 3,968.19 : x
  2. Step 2: Convert to fraction form
    8,126.19/12,194.78 = 3,968.19/x
  3. Step 3: Cross multiply
    8,126.19x = 12,194.78 × 3,968.19
  4. Step 4: Simplify right side
    8,126.19x = 48,391,184.21
  5. Step 5: Solve for x
    x = 48,391,184.21/8,126.19
  6. Step 6: Final answer
    x = 5,954.97

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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.