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Finding the Fourth Proportional to 8,223.88, 12,337.26 and 2,676.64

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Solution

The fourth proportional to 8,223.88, 12,337.26 and 2,676.64 is: 4,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.88 : 12,337.26 = 2,676.64 : x
  2. Step 2: Convert to fraction form
    8,223.88/12,337.26 = 2,676.64/x
  3. Step 3: Cross multiply
    8,223.88x = 12,337.26 × 2,676.64
  4. Step 4: Simplify right side
    8,223.88x = 33,022,403.61
  5. Step 5: Solve for x
    x = 33,022,403.61/8,223.88
  6. Step 6: Final answer
    x = 4,015.43

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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.