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Finding the Fourth Proportional to 6,806.30, 10,203.67 and 3,107.23

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Solution

The fourth proportional to 6,806.30, 10,203.67 and 3,107.23 is: 4,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.30 : 10,203.67 = 3,107.23 : x
  2. Step 2: Convert to fraction form
    6,806.30/10,203.67 = 3,107.23/x
  3. Step 3: Cross multiply
    6,806.30x = 10,203.67 × 3,107.23
  4. Step 4: Simplify right side
    6,806.30x = 31,705,149.53
  5. Step 5: Solve for x
    x = 31,705,149.53/6,806.30
  6. Step 6: Final answer
    x = 4,658.21

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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.