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Finding the Fourth Proportional to 8,676.24, 13,027.32 and 8,546.64

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Solution

The fourth proportional to 8,676.24, 13,027.32 and 8,546.64 is: 12,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.24 : 13,027.32 = 8,546.64 : x
  2. Step 2: Convert to fraction form
    8,676.24/13,027.32 = 8,546.64/x
  3. Step 3: Cross multiply
    8,676.24x = 13,027.32 × 8,546.64
  4. Step 4: Simplify right side
    8,676.24x = 111,339,814.20
  5. Step 5: Solve for x
    x = 111,339,814.20/8,676.24
  6. Step 6: Final answer
    x = 12,832.73

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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.