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Finding the Fourth Proportional to 8,198.46, 11,313.91 and 4,472.54

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Solution

The fourth proportional to 8,198.46, 11,313.91 and 4,472.54 is: 6,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.46 : 11,313.91 = 4,472.54 : x
  2. Step 2: Convert to fraction form
    8,198.46/11,313.91 = 4,472.54/x
  3. Step 3: Cross multiply
    8,198.46x = 11,313.91 × 4,472.54
  4. Step 4: Simplify right side
    8,198.46x = 50,601,915.03
  5. Step 5: Solve for x
    x = 50,601,915.03/8,198.46
  6. Step 6: Final answer
    x = 6,172.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.