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Finding the Fourth Proportional to 8,511.96, 12,766.14 and 4,067.10

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Solution

The fourth proportional to 8,511.96, 12,766.14 and 4,067.10 is: 6,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.96 : 12,766.14 = 4,067.10 : x
  2. Step 2: Convert to fraction form
    8,511.96/12,766.14 = 4,067.10/x
  3. Step 3: Cross multiply
    8,511.96x = 12,766.14 × 4,067.10
  4. Step 4: Simplify right side
    8,511.96x = 51,921,167.99
  5. Step 5: Solve for x
    x = 51,921,167.99/8,511.96
  6. Step 6: Final answer
    x = 6,099.79

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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.