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Finding the Fourth Proportional to 10,952.75, 16,429.17 and 2,744.75

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Solution

The fourth proportional to 10,952.75, 16,429.17 and 2,744.75 is: 4,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.75 : 16,429.17 = 2,744.75 : x
  2. Step 2: Convert to fraction form
    10,952.75/16,429.17 = 2,744.75/x
  3. Step 3: Cross multiply
    10,952.75x = 16,429.17 × 2,744.75
  4. Step 4: Simplify right side
    10,952.75x = 45,093,964.36
  5. Step 5: Solve for x
    x = 45,093,964.36/10,952.75
  6. Step 6: Final answer
    x = 4,117.14

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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.