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Finding the Fourth Proportional to 8,297.84, 12,446.07 and 2,749.37

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Solution

The fourth proportional to 8,297.84, 12,446.07 and 2,749.37 is: 4,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.84 : 12,446.07 = 2,749.37 : x
  2. Step 2: Convert to fraction form
    8,297.84/12,446.07 = 2,749.37/x
  3. Step 3: Cross multiply
    8,297.84x = 12,446.07 × 2,749.37
  4. Step 4: Simplify right side
    8,297.84x = 34,218,789.25
  5. Step 5: Solve for x
    x = 34,218,789.25/8,297.84
  6. Step 6: Final answer
    x = 4,123.82

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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.