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Finding the Fourth Proportional to 6,813.56, 10,207.38 and 3,882.98

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Solution

The fourth proportional to 6,813.56, 10,207.38 and 3,882.98 is: 5,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.56 : 10,207.38 = 3,882.98 : x
  2. Step 2: Convert to fraction form
    6,813.56/10,207.38 = 3,882.98/x
  3. Step 3: Cross multiply
    6,813.56x = 10,207.38 × 3,882.98
  4. Step 4: Simplify right side
    6,813.56x = 39,635,052.39
  5. Step 5: Solve for x
    x = 39,635,052.39/6,813.56
  6. Step 6: Final answer
    x = 5,817.08

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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.