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Finding the Fourth Proportional to 8,126.93, 12,191.91 and 2,578.78

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Solution

The fourth proportional to 8,126.93, 12,191.91 and 2,578.78 is: 3,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.93 : 12,191.91 = 2,578.78 : x
  2. Step 2: Convert to fraction form
    8,126.93/12,191.91 = 2,578.78/x
  3. Step 3: Cross multiply
    8,126.93x = 12,191.91 × 2,578.78
  4. Step 4: Simplify right side
    8,126.93x = 31,440,179.82
  5. Step 5: Solve for x
    x = 31,440,179.82/8,126.93
  6. Step 6: Final answer
    x = 3,868.64

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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.