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Finding the Fourth Proportional to 8,620.38, 11,895 and 5,082.30

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Solution

The fourth proportional to 8,620.38, 11,895 and 5,082.30 is: 7,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.38 : 11,895 = 5,082.30 : x
  2. Step 2: Convert to fraction form
    8,620.38/11,895 = 5,082.30/x
  3. Step 3: Cross multiply
    8,620.38x = 11,895 × 5,082.30
  4. Step 4: Simplify right side
    8,620.38x = 60,453,958.50
  5. Step 5: Solve for x
    x = 60,453,958.50/8,620.38
  6. Step 6: Final answer
    x = 7,012.91

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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.