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Finding the Fourth Proportional to 6,839.37, 10,296.25 and 4,905.09

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Solution

The fourth proportional to 6,839.37, 10,296.25 and 4,905.09 is: 7,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.37 : 10,296.25 = 4,905.09 : x
  2. Step 2: Convert to fraction form
    6,839.37/10,296.25 = 4,905.09/x
  3. Step 3: Cross multiply
    6,839.37x = 10,296.25 × 4,905.09
  4. Step 4: Simplify right side
    6,839.37x = 50,504,020.65
  5. Step 5: Solve for x
    x = 50,504,020.65/6,839.37
  6. Step 6: Final answer
    x = 7,384.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.