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Finding the Fourth Proportional to 7,891.50, 11,838.49 and 2,344.28

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Solution

The fourth proportional to 7,891.50, 11,838.49 and 2,344.28 is: 3,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.50 : 11,838.49 = 2,344.28 : x
  2. Step 2: Convert to fraction form
    7,891.50/11,838.49 = 2,344.28/x
  3. Step 3: Cross multiply
    7,891.50x = 11,838.49 × 2,344.28
  4. Step 4: Simplify right side
    7,891.50x = 27,752,735.34
  5. Step 5: Solve for x
    x = 27,752,735.34/7,891.50
  6. Step 6: Final answer
    x = 3,516.79

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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.