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Finding the Fourth Proportional to 8,511.75, 12,767.54 and 3,321.27

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Solution

The fourth proportional to 8,511.75, 12,767.54 and 3,321.27 is: 4,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.75 : 12,767.54 = 3,321.27 : x
  2. Step 2: Convert to fraction form
    8,511.75/12,767.54 = 3,321.27/x
  3. Step 3: Cross multiply
    8,511.75x = 12,767.54 × 3,321.27
  4. Step 4: Simplify right side
    8,511.75x = 42,404,430.97
  5. Step 5: Solve for x
    x = 42,404,430.97/8,511.75
  6. Step 6: Final answer
    x = 4,981.87

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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.