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Finding the Fourth Proportional to 6,807.41, 10,214.01 and 3,846.26

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Solution

The fourth proportional to 6,807.41, 10,214.01 and 3,846.26 is: 5,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.41 : 10,214.01 = 3,846.26 : x
  2. Step 2: Convert to fraction form
    6,807.41/10,214.01 = 3,846.26/x
  3. Step 3: Cross multiply
    6,807.41x = 10,214.01 × 3,846.26
  4. Step 4: Simplify right side
    6,807.41x = 39,285,687.03
  5. Step 5: Solve for x
    x = 39,285,687.03/6,807.41
  6. Step 6: Final answer
    x = 5,771.02

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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.