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Finding the Fourth Proportional to 6,843.81, 10,266.38 and 3,147.07

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Solution

The fourth proportional to 6,843.81, 10,266.38 and 3,147.07 is: 4,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.81 : 10,266.38 = 3,147.07 : x
  2. Step 2: Convert to fraction form
    6,843.81/10,266.38 = 3,147.07/x
  3. Step 3: Cross multiply
    6,843.81x = 10,266.38 × 3,147.07
  4. Step 4: Simplify right side
    6,843.81x = 32,309,016.51
  5. Step 5: Solve for x
    x = 32,309,016.51/6,843.81
  6. Step 6: Final answer
    x = 4,720.91

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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.