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Finding the Fourth Proportional to 6,817.14, 10,225.70 and 2,713.14

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Solution

The fourth proportional to 6,817.14, 10,225.70 and 2,713.14 is: 4,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.14 : 10,225.70 = 2,713.14 : x
  2. Step 2: Convert to fraction form
    6,817.14/10,225.70 = 2,713.14/x
  3. Step 3: Cross multiply
    6,817.14x = 10,225.70 × 2,713.14
  4. Step 4: Simplify right side
    6,817.14x = 27,743,755.70
  5. Step 5: Solve for x
    x = 27,743,755.70/6,817.14
  6. Step 6: Final answer
    x = 4,069.71

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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.