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Finding the Fourth Proportional to 10,641.42, 15,965.01 and 4,067.82

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Solution

The fourth proportional to 10,641.42, 15,965.01 and 4,067.82 is: 6,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.42 : 15,965.01 = 4,067.82 : x
  2. Step 2: Convert to fraction form
    10,641.42/15,965.01 = 4,067.82/x
  3. Step 3: Cross multiply
    10,641.42x = 15,965.01 × 4,067.82
  4. Step 4: Simplify right side
    10,641.42x = 64,942,786.98
  5. Step 5: Solve for x
    x = 64,942,786.98/10,641.42
  6. Step 6: Final answer
    x = 6,102.83

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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.