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Finding the Fourth Proportional to 8,496.36, 12,739.50 and 3,231.77

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Solution

The fourth proportional to 8,496.36, 12,739.50 and 3,231.77 is: 4,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.36 : 12,739.50 = 3,231.77 : x
  2. Step 2: Convert to fraction form
    8,496.36/12,739.50 = 3,231.77/x
  3. Step 3: Cross multiply
    8,496.36x = 12,739.50 × 3,231.77
  4. Step 4: Simplify right side
    8,496.36x = 41,171,070.22
  5. Step 5: Solve for x
    x = 41,171,070.22/8,496.36
  6. Step 6: Final answer
    x = 4,845.73

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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.