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Finding the Fourth Proportional to 6,806.84, 10,189.04 and 5,242.80

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Solution

The fourth proportional to 6,806.84, 10,189.04 and 5,242.80 is: 7,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.84 : 10,189.04 = 5,242.80 : x
  2. Step 2: Convert to fraction form
    6,806.84/10,189.04 = 5,242.80/x
  3. Step 3: Cross multiply
    6,806.84x = 10,189.04 × 5,242.80
  4. Step 4: Simplify right side
    6,806.84x = 53,419,098.91
  5. Step 5: Solve for x
    x = 53,419,098.91/6,806.84
  6. Step 6: Final answer
    x = 7,847.86

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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.