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Finding the Fourth Proportional to 8,206.52, 11,324.94 and 4,480.52

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Solution

The fourth proportional to 8,206.52, 11,324.94 and 4,480.52 is: 6,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.52 : 11,324.94 = 4,480.52 : x
  2. Step 2: Convert to fraction form
    8,206.52/11,324.94 = 4,480.52/x
  3. Step 3: Cross multiply
    8,206.52x = 11,324.94 × 4,480.52
  4. Step 4: Simplify right side
    8,206.52x = 50,741,620.17
  5. Step 5: Solve for x
    x = 50,741,620.17/8,206.52
  6. Step 6: Final answer
    x = 6,183.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.