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Finding the Fourth Proportional to 8,511.48, 12,767.42 and 3,245.80

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Solution

The fourth proportional to 8,511.48, 12,767.42 and 3,245.80 is: 4,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.48 : 12,767.42 = 3,245.80 : x
  2. Step 2: Convert to fraction form
    8,511.48/12,767.42 = 3,245.80/x
  3. Step 3: Cross multiply
    8,511.48x = 12,767.42 × 3,245.80
  4. Step 4: Simplify right side
    8,511.48x = 41,440,491.84
  5. Step 5: Solve for x
    x = 41,440,491.84/8,511.48
  6. Step 6: Final answer
    x = 4,868.78

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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.