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Finding the Fourth Proportional to 10,067.42, 15,099.07 and 3,825.24

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Solution

The fourth proportional to 10,067.42, 15,099.07 and 3,825.24 is: 5,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.42 : 15,099.07 = 3,825.24 : x
  2. Step 2: Convert to fraction form
    10,067.42/15,099.07 = 3,825.24/x
  3. Step 3: Cross multiply
    10,067.42x = 15,099.07 × 3,825.24
  4. Step 4: Simplify right side
    10,067.42x = 57,757,535.83
  5. Step 5: Solve for x
    x = 57,757,535.83/10,067.42
  6. Step 6: Final answer
    x = 5,737.08

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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.