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Finding the Fourth Proportional to 11,965.81, 17,949.44 and 3,646.43

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Solution

The fourth proportional to 11,965.81, 17,949.44 and 3,646.43 is: 5,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.81 : 17,949.44 = 3,646.43 : x
  2. Step 2: Convert to fraction form
    11,965.81/17,949.44 = 3,646.43/x
  3. Step 3: Cross multiply
    11,965.81x = 17,949.44 × 3,646.43
  4. Step 4: Simplify right side
    11,965.81x = 65,451,376.50
  5. Step 5: Solve for x
    x = 65,451,376.50/11,965.81
  6. Step 6: Final answer
    x = 5,469.87

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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.