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Finding the Fourth Proportional to 10,393.71, 15,592.11 and 3,819.39

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Solution

The fourth proportional to 10,393.71, 15,592.11 and 3,819.39 is: 5,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.71 : 15,592.11 = 3,819.39 : x
  2. Step 2: Convert to fraction form
    10,393.71/15,592.11 = 3,819.39/x
  3. Step 3: Cross multiply
    10,393.71x = 15,592.11 × 3,819.39
  4. Step 4: Simplify right side
    10,393.71x = 59,552,304.87
  5. Step 5: Solve for x
    x = 59,552,304.87/10,393.71
  6. Step 6: Final answer
    x = 5,729.65

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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.