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Finding the Fourth Proportional to 8,451.12, 12,676.66 and 5,157.86

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Solution

The fourth proportional to 8,451.12, 12,676.66 and 5,157.86 is: 7,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.12 : 12,676.66 = 5,157.86 : x
  2. Step 2: Convert to fraction form
    8,451.12/12,676.66 = 5,157.86/x
  3. Step 3: Cross multiply
    8,451.12x = 12,676.66 × 5,157.86
  4. Step 4: Simplify right side
    8,451.12x = 65,384,437.55
  5. Step 5: Solve for x
    x = 65,384,437.55/8,451.12
  6. Step 6: Final answer
    x = 7,736.78

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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.