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Finding the Fourth Proportional to 8,505.26, 12,756.77 and 3,238.84

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Solution

The fourth proportional to 8,505.26, 12,756.77 and 3,238.84 is: 4,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.26 : 12,756.77 = 3,238.84 : x
  2. Step 2: Convert to fraction form
    8,505.26/12,756.77 = 3,238.84/x
  3. Step 3: Cross multiply
    8,505.26x = 12,756.77 × 3,238.84
  4. Step 4: Simplify right side
    8,505.26x = 41,317,136.95
  5. Step 5: Solve for x
    x = 41,317,136.95/8,505.26
  6. Step 6: Final answer
    x = 4,857.83

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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.