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Finding the Fourth Proportional to 8,186.35, 12,269.20 and 3,500.82

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Solution

The fourth proportional to 8,186.35, 12,269.20 and 3,500.82 is: 5,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.35 : 12,269.20 = 3,500.82 : x
  2. Step 2: Convert to fraction form
    8,186.35/12,269.20 = 3,500.82/x
  3. Step 3: Cross multiply
    8,186.35x = 12,269.20 × 3,500.82
  4. Step 4: Simplify right side
    8,186.35x = 42,952,260.74
  5. Step 5: Solve for x
    x = 42,952,260.74/8,186.35
  6. Step 6: Final answer
    x = 5,246.81

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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.