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Finding the Fourth Proportional to 8,082.06, 11,149.70 and 4,936.38

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Solution

The fourth proportional to 8,082.06, 11,149.70 and 4,936.38 is: 6,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.06 : 11,149.70 = 4,936.38 : x
  2. Step 2: Convert to fraction form
    8,082.06/11,149.70 = 4,936.38/x
  3. Step 3: Cross multiply
    8,082.06x = 11,149.70 × 4,936.38
  4. Step 4: Simplify right side
    8,082.06x = 55,039,156.09
  5. Step 5: Solve for x
    x = 55,039,156.09/8,082.06
  6. Step 6: Final answer
    x = 6,810.04

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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.