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Finding the Fourth Proportional to 8,196.76, 12,284.85 and 3,511.25

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Solution

The fourth proportional to 8,196.76, 12,284.85 and 3,511.25 is: 5,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.76 : 12,284.85 = 3,511.25 : x
  2. Step 2: Convert to fraction form
    8,196.76/12,284.85 = 3,511.25/x
  3. Step 3: Cross multiply
    8,196.76x = 12,284.85 × 3,511.25
  4. Step 4: Simplify right side
    8,196.76x = 43,135,179.56
  5. Step 5: Solve for x
    x = 43,135,179.56/8,196.76
  6. Step 6: Final answer
    x = 5,262.47

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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.