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Finding the Fourth Proportional to 8,519.80, 12,781.82 and 6,771.40

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Solution

The fourth proportional to 8,519.80, 12,781.82 and 6,771.40 is: 10,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.80 : 12,781.82 = 6,771.40 : x
  2. Step 2: Convert to fraction form
    8,519.80/12,781.82 = 6,771.40/x
  3. Step 3: Cross multiply
    8,519.80x = 12,781.82 × 6,771.40
  4. Step 4: Simplify right side
    8,519.80x = 86,550,815.95
  5. Step 5: Solve for x
    x = 86,550,815.95/8,519.80
  6. Step 6: Final answer
    x = 10,158.78

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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.