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Finding the Fourth Proportional to 6,830.30, 10,245.46 and 3,367.82

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Solution

The fourth proportional to 6,830.30, 10,245.46 and 3,367.82 is: 5,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.30 : 10,245.46 = 3,367.82 : x
  2. Step 2: Convert to fraction form
    6,830.30/10,245.46 = 3,367.82/x
  3. Step 3: Cross multiply
    6,830.30x = 10,245.46 × 3,367.82
  4. Step 4: Simplify right side
    6,830.30x = 34,504,865.10
  5. Step 5: Solve for x
    x = 34,504,865.10/6,830.30
  6. Step 6: Final answer
    x = 5,051.73

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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.