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Finding the Fourth Proportional to 6,850.83, 10,262.49 and 3,147.90

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Solution

The fourth proportional to 6,850.83, 10,262.49 and 3,147.90 is: 4,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.83 : 10,262.49 = 3,147.90 : x
  2. Step 2: Convert to fraction form
    6,850.83/10,262.49 = 3,147.90/x
  3. Step 3: Cross multiply
    6,850.83x = 10,262.49 × 3,147.90
  4. Step 4: Simplify right side
    6,850.83x = 32,305,292.27
  5. Step 5: Solve for x
    x = 32,305,292.27/6,850.83
  6. Step 6: Final answer
    x = 4,715.53

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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.