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Finding the Fourth Proportional to 8,262.08, 12,393 and 3,876.44

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Solution

The fourth proportional to 8,262.08, 12,393 and 3,876.44 is: 5,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.08 : 12,393 = 3,876.44 : x
  2. Step 2: Convert to fraction form
    8,262.08/12,393 = 3,876.44/x
  3. Step 3: Cross multiply
    8,262.08x = 12,393 × 3,876.44
  4. Step 4: Simplify right side
    8,262.08x = 48,040,658.96
  5. Step 5: Solve for x
    x = 48,040,658.96/8,262.08
  6. Step 6: Final answer
    x = 5,814.60

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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.