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Finding the Fourth Proportional to 6,783.80, 10,163.17 and 3,659.12

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Solution

The fourth proportional to 6,783.80, 10,163.17 and 3,659.12 is: 5,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.80 : 10,163.17 = 3,659.12 : x
  2. Step 2: Convert to fraction form
    6,783.80/10,163.17 = 3,659.12/x
  3. Step 3: Cross multiply
    6,783.80x = 10,163.17 × 3,659.12
  4. Step 4: Simplify right side
    6,783.80x = 37,188,307.65
  5. Step 5: Solve for x
    x = 37,188,307.65/6,783.80
  6. Step 6: Final answer
    x = 5,481.93

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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.