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Finding the Fourth Proportional to 8,743, 12,063.96 and 5,206.12

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Solution

The fourth proportional to 8,743, 12,063.96 and 5,206.12 is: 7,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743 : 12,063.96 = 5,206.12 : x
  2. Step 2: Convert to fraction form
    8,743/12,063.96 = 5,206.12/x
  3. Step 3: Cross multiply
    8,743x = 12,063.96 × 5,206.12
  4. Step 4: Simplify right side
    8,743x = 62,806,423.44
  5. Step 5: Solve for x
    x = 62,806,423.44/8,743
  6. Step 6: Final answer
    x = 7,183.62

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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.