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Finding the Fourth Proportional to 8,206.32, 11,324.70 and 4,480.32

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Solution

The fourth proportional to 8,206.32, 11,324.70 and 4,480.32 is: 6,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.32 : 11,324.70 = 4,480.32 : x
  2. Step 2: Convert to fraction form
    8,206.32/11,324.70 = 4,480.32/x
  3. Step 3: Cross multiply
    8,206.32x = 11,324.70 × 4,480.32
  4. Step 4: Simplify right side
    8,206.32x = 50,738,279.90
  5. Step 5: Solve for x
    x = 50,738,279.90/8,206.32
  6. Step 6: Final answer
    x = 6,182.83

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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.