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Finding the Fourth Proportional to 11,950.55, 17,933.03 and 4,164.83

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Solution

The fourth proportional to 11,950.55, 17,933.03 and 4,164.83 is: 6,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.55 : 17,933.03 = 4,164.83 : x
  2. Step 2: Convert to fraction form
    11,950.55/17,933.03 = 4,164.83/x
  3. Step 3: Cross multiply
    11,950.55x = 17,933.03 × 4,164.83
  4. Step 4: Simplify right side
    11,950.55x = 74,687,910.85
  5. Step 5: Solve for x
    x = 74,687,910.85/11,950.55
  6. Step 6: Final answer
    x = 6,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.