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Finding the Fourth Proportional to 10,578.44, 15,869.88 and 3,183.44

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Solution

The fourth proportional to 10,578.44, 15,869.88 and 3,183.44 is: 4,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.44 : 15,869.88 = 3,183.44 : x
  2. Step 2: Convert to fraction form
    10,578.44/15,869.88 = 3,183.44/x
  3. Step 3: Cross multiply
    10,578.44x = 15,869.88 × 3,183.44
  4. Step 4: Simplify right side
    10,578.44x = 50,520,810.79
  5. Step 5: Solve for x
    x = 50,520,810.79/10,578.44
  6. Step 6: Final answer
    x = 4,775.83

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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.