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Finding the Fourth Proportional to 10,067.46, 13,896.99 and 7,556.85

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Solution

The fourth proportional to 10,067.46, 13,896.99 and 7,556.85 is: 10,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.46 : 13,896.99 = 7,556.85 : x
  2. Step 2: Convert to fraction form
    10,067.46/13,896.99 = 7,556.85/x
  3. Step 3: Cross multiply
    10,067.46x = 13,896.99 × 7,556.85
  4. Step 4: Simplify right side
    10,067.46x = 105,017,468.88
  5. Step 5: Solve for x
    x = 105,017,468.88/10,067.46
  6. Step 6: Final answer
    x = 10,431.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.