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Finding the Fourth Proportional to 11,343.43, 17,015.81 and 3,446.20

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Solution

The fourth proportional to 11,343.43, 17,015.81 and 3,446.20 is: 5,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.43 : 17,015.81 = 3,446.20 : x
  2. Step 2: Convert to fraction form
    11,343.43/17,015.81 = 3,446.20/x
  3. Step 3: Cross multiply
    11,343.43x = 17,015.81 × 3,446.20
  4. Step 4: Simplify right side
    11,343.43x = 58,639,884.42
  5. Step 5: Solve for x
    x = 58,639,884.42/11,343.43
  6. Step 6: Final answer
    x = 5,169.50

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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.