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Finding the Fourth Proportional to 8,185.39, 12,267.81 and 3,499.89

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Solution

The fourth proportional to 8,185.39, 12,267.81 and 3,499.89 is: 5,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.39 : 12,267.81 = 3,499.89 : x
  2. Step 2: Convert to fraction form
    8,185.39/12,267.81 = 3,499.89/x
  3. Step 3: Cross multiply
    8,185.39x = 12,267.81 × 3,499.89
  4. Step 4: Simplify right side
    8,185.39x = 42,935,951.87
  5. Step 5: Solve for x
    x = 42,935,951.87/8,185.39
  6. Step 6: Final answer
    x = 5,245.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.