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Finding the Fourth Proportional to 8,297.12, 12,442.43 and 3,676.88

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Solution

The fourth proportional to 8,297.12, 12,442.43 and 3,676.88 is: 5,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.12 : 12,442.43 = 3,676.88 : x
  2. Step 2: Convert to fraction form
    8,297.12/12,442.43 = 3,676.88/x
  3. Step 3: Cross multiply
    8,297.12x = 12,442.43 × 3,676.88
  4. Step 4: Simplify right side
    8,297.12x = 45,749,241.42
  5. Step 5: Solve for x
    x = 45,749,241.42/8,297.12
  6. Step 6: Final answer
    x = 5,513.87

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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.