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Finding the Fourth Proportional to 10,393.97, 15,592.49 and 3,819.64

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Solution

The fourth proportional to 10,393.97, 15,592.49 and 3,819.64 is: 5,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.97 : 15,592.49 = 3,819.64 : x
  2. Step 2: Convert to fraction form
    10,393.97/15,592.49 = 3,819.64/x
  3. Step 3: Cross multiply
    10,393.97x = 15,592.49 × 3,819.64
  4. Step 4: Simplify right side
    10,393.97x = 59,557,620.54
  5. Step 5: Solve for x
    x = 59,557,620.54/10,393.97
  6. Step 6: Final answer
    x = 5,730.02

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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.