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Finding the Fourth Proportional to 6,852.54, 10,278.78 and 2,469.42

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Solution

The fourth proportional to 6,852.54, 10,278.78 and 2,469.42 is: 3,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.54 : 10,278.78 = 2,469.42 : x
  2. Step 2: Convert to fraction form
    6,852.54/10,278.78 = 2,469.42/x
  3. Step 3: Cross multiply
    6,852.54x = 10,278.78 × 2,469.42
  4. Step 4: Simplify right side
    6,852.54x = 25,382,624.91
  5. Step 5: Solve for x
    x = 25,382,624.91/6,852.54
  6. Step 6: Final answer
    x = 3,704.12

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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.