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Finding the Fourth Proportional to 8,451.08, 12,676.62 and 5,633.96

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Solution

The fourth proportional to 8,451.08, 12,676.62 and 5,633.96 is: 8,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.08 : 12,676.62 = 5,633.96 : x
  2. Step 2: Convert to fraction form
    8,451.08/12,676.62 = 5,633.96/x
  3. Step 3: Cross multiply
    8,451.08x = 12,676.62 × 5,633.96
  4. Step 4: Simplify right side
    8,451.08x = 71,419,570.02
  5. Step 5: Solve for x
    x = 71,419,570.02/8,451.08
  6. Step 6: Final answer
    x = 8,450.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.