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Finding the Fourth Proportional to 10,524.12, 15,785.64 and 3,949.80

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Solution

The fourth proportional to 10,524.12, 15,785.64 and 3,949.80 is: 5,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.12 : 15,785.64 = 3,949.80 : x
  2. Step 2: Convert to fraction form
    10,524.12/15,785.64 = 3,949.80/x
  3. Step 3: Cross multiply
    10,524.12x = 15,785.64 × 3,949.80
  4. Step 4: Simplify right side
    10,524.12x = 62,350,120.87
  5. Step 5: Solve for x
    x = 62,350,120.87/10,524.12
  6. Step 6: Final answer
    x = 5,924.50

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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.