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Finding the Fourth Proportional to 8,183.19, 12,274.83 and 3,499.25

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Solution

The fourth proportional to 8,183.19, 12,274.83 and 3,499.25 is: 5,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.19 : 12,274.83 = 3,499.25 : x
  2. Step 2: Convert to fraction form
    8,183.19/12,274.83 = 3,499.25/x
  3. Step 3: Cross multiply
    8,183.19x = 12,274.83 × 3,499.25
  4. Step 4: Simplify right side
    8,183.19x = 42,952,637.50
  5. Step 5: Solve for x
    x = 42,952,637.50/8,183.19
  6. Step 6: Final answer
    x = 5,248.89

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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.