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Finding the Fourth Proportional to 8,194.99, 12,286.68 and 4,498.96

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Solution

The fourth proportional to 8,194.99, 12,286.68 and 4,498.96 is: 6,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.99 : 12,286.68 = 4,498.96 : x
  2. Step 2: Convert to fraction form
    8,194.99/12,286.68 = 4,498.96/x
  3. Step 3: Cross multiply
    8,194.99x = 12,286.68 × 4,498.96
  4. Step 4: Simplify right side
    8,194.99x = 55,277,281.85
  5. Step 5: Solve for x
    x = 55,277,281.85/8,194.99
  6. Step 6: Final answer
    x = 6,745.25

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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.