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Finding the Fourth Proportional to 11,694.82, 17,536.55 and 3,901

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Solution

The fourth proportional to 11,694.82, 17,536.55 and 3,901 is: 5,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.82 : 17,536.55 = 3,901 : x
  2. Step 2: Convert to fraction form
    11,694.82/17,536.55 = 3,901/x
  3. Step 3: Cross multiply
    11,694.82x = 17,536.55 × 3,901
  4. Step 4: Simplify right side
    11,694.82x = 68,410,062.05
  5. Step 5: Solve for x
    x = 68,410,062.05/11,694.82
  6. Step 6: Final answer
    x = 5,849.60

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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.