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Finding the Fourth Proportional to 7,694.39, 11,536.79 and 3,249.77

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Solution

The fourth proportional to 7,694.39, 11,536.79 and 3,249.77 is: 4,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.39 : 11,536.79 = 3,249.77 : x
  2. Step 2: Convert to fraction form
    7,694.39/11,536.79 = 3,249.77/x
  3. Step 3: Cross multiply
    7,694.39x = 11,536.79 × 3,249.77
  4. Step 4: Simplify right side
    7,694.39x = 37,491,840.11
  5. Step 5: Solve for x
    x = 37,491,840.11/7,694.39
  6. Step 6: Final answer
    x = 4,872.62

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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.