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Finding the Fourth Proportional to 8,131.56, 12,194.46 and 3,201

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Solution

The fourth proportional to 8,131.56, 12,194.46 and 3,201 is: 4,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.56 : 12,194.46 = 3,201 : x
  2. Step 2: Convert to fraction form
    8,131.56/12,194.46 = 3,201/x
  3. Step 3: Cross multiply
    8,131.56x = 12,194.46 × 3,201
  4. Step 4: Simplify right side
    8,131.56x = 39,034,466.46
  5. Step 5: Solve for x
    x = 39,034,466.46/8,131.56
  6. Step 6: Final answer
    x = 4,800.37

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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.