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Finding the Fourth Proportional to 8,296.62, 12,441.68 and 3,676.38

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Solution

The fourth proportional to 8,296.62, 12,441.68 and 3,676.38 is: 5,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.62 : 12,441.68 = 3,676.38 : x
  2. Step 2: Convert to fraction form
    8,296.62/12,441.68 = 3,676.38/x
  3. Step 3: Cross multiply
    8,296.62x = 12,441.68 × 3,676.38
  4. Step 4: Simplify right side
    8,296.62x = 45,740,343.52
  5. Step 5: Solve for x
    x = 45,740,343.52/8,296.62
  6. Step 6: Final answer
    x = 5,513.13

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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.