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Finding the Fourth Proportional to 8,198.81, 12,298.22 and 3,515.78

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Solution

The fourth proportional to 8,198.81, 12,298.22 and 3,515.78 is: 5,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.81 : 12,298.22 = 3,515.78 : x
  2. Step 2: Convert to fraction form
    8,198.81/12,298.22 = 3,515.78/x
  3. Step 3: Cross multiply
    8,198.81x = 12,298.22 × 3,515.78
  4. Step 4: Simplify right side
    8,198.81x = 43,237,835.91
  5. Step 5: Solve for x
    x = 43,237,835.91/8,198.81
  6. Step 6: Final answer
    x = 5,273.67

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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.