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Finding the Fourth Proportional to 10,965.39, 16,449.14 and 3,067.92

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Solution

The fourth proportional to 10,965.39, 16,449.14 and 3,067.92 is: 4,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.39 : 16,449.14 = 3,067.92 : x
  2. Step 2: Convert to fraction form
    10,965.39/16,449.14 = 3,067.92/x
  3. Step 3: Cross multiply
    10,965.39x = 16,449.14 × 3,067.92
  4. Step 4: Simplify right side
    10,965.39x = 50,464,630.25
  5. Step 5: Solve for x
    x = 50,464,630.25/10,965.39
  6. Step 6: Final answer
    x = 4,602.17

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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.