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Finding the Fourth Proportional to 8,496.30, 12,739.50 and 3,296.10

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Solution

The fourth proportional to 8,496.30, 12,739.50 and 3,296.10 is: 4,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.30 : 12,739.50 = 3,296.10 : x
  2. Step 2: Convert to fraction form
    8,496.30/12,739.50 = 3,296.10/x
  3. Step 3: Cross multiply
    8,496.30x = 12,739.50 × 3,296.10
  4. Step 4: Simplify right side
    8,496.30x = 41,990,665.95
  5. Step 5: Solve for x
    x = 41,990,665.95/8,496.30
  6. Step 6: Final answer
    x = 4,942.23

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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.