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Finding the Fourth Proportional to 6,906.71, 10,354.07 and 3,207.03

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Solution

The fourth proportional to 6,906.71, 10,354.07 and 3,207.03 is: 4,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.71 : 10,354.07 = 3,207.03 : x
  2. Step 2: Convert to fraction form
    6,906.71/10,354.07 = 3,207.03/x
  3. Step 3: Cross multiply
    6,906.71x = 10,354.07 × 3,207.03
  4. Step 4: Simplify right side
    6,906.71x = 33,205,797.08
  5. Step 5: Solve for x
    x = 33,205,797.08/6,906.71
  6. Step 6: Final answer
    x = 4,807.76

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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.