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Finding the Fourth Proportional to 7,816, 11,725.92 and 2,344

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Solution

The fourth proportional to 7,816, 11,725.92 and 2,344 is: 3,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 11,725.92 = 2,344 : x
  2. Step 2: Convert to fraction form
    7,816/11,725.92 = 2,344/x
  3. Step 3: Cross multiply
    7,816x = 11,725.92 × 2,344
  4. Step 4: Simplify right side
    7,816x = 27,485,556.48
  5. Step 5: Solve for x
    x = 27,485,556.48/7,816
  6. Step 6: Final answer
    x = 3,516.58

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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.