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Finding the Fourth Proportional to 6,767.56, 10,141.80 and 3,205.90

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Solution

The fourth proportional to 6,767.56, 10,141.80 and 3,205.90 is: 4,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.56 : 10,141.80 = 3,205.90 : x
  2. Step 2: Convert to fraction form
    6,767.56/10,141.80 = 3,205.90/x
  3. Step 3: Cross multiply
    6,767.56x = 10,141.80 × 3,205.90
  4. Step 4: Simplify right side
    6,767.56x = 32,513,596.62
  5. Step 5: Solve for x
    x = 32,513,596.62/6,767.56
  6. Step 6: Final answer
    x = 4,804.33

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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.