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Finding the Fourth Proportional to 6,682.98, 10,022.85 and 2,785.26

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Solution

The fourth proportional to 6,682.98, 10,022.85 and 2,785.26 is: 4,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.98 : 10,022.85 = 2,785.26 : x
  2. Step 2: Convert to fraction form
    6,682.98/10,022.85 = 2,785.26/x
  3. Step 3: Cross multiply
    6,682.98x = 10,022.85 × 2,785.26
  4. Step 4: Simplify right side
    6,682.98x = 27,916,243.19
  5. Step 5: Solve for x
    x = 27,916,243.19/6,682.98
  6. Step 6: Final answer
    x = 4,177.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.