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Finding the Fourth Proportional to 8,189, 11,300.82 and 4,463

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Solution

The fourth proportional to 8,189, 11,300.82 and 4,463 is: 6,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189 : 11,300.82 = 4,463 : x
  2. Step 2: Convert to fraction form
    8,189/11,300.82 = 4,463/x
  3. Step 3: Cross multiply
    8,189x = 11,300.82 × 4,463
  4. Step 4: Simplify right side
    8,189x = 50,435,559.66
  5. Step 5: Solve for x
    x = 50,435,559.66/8,189
  6. Step 6: Final answer
    x = 6,158.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.