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Finding the Fourth Proportional to 7,866, 11,799 and 3,249.12

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Solution

The fourth proportional to 7,866, 11,799 and 3,249.12 is: 4,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866 : 11,799 = 3,249.12 : x
  2. Step 2: Convert to fraction form
    7,866/11,799 = 3,249.12/x
  3. Step 3: Cross multiply
    7,866x = 11,799 × 3,249.12
  4. Step 4: Simplify right side
    7,866x = 38,336,366.88
  5. Step 5: Solve for x
    x = 38,336,366.88/7,866
  6. Step 6: Final answer
    x = 4,873.68

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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.