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Finding the Fourth Proportional to 6,817, 10,226.96 and 2,713

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Solution

The fourth proportional to 6,817, 10,226.96 and 2,713 is: 4,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817 : 10,226.96 = 2,713 : x
  2. Step 2: Convert to fraction form
    6,817/10,226.96 = 2,713/x
  3. Step 3: Cross multiply
    6,817x = 10,226.96 × 2,713
  4. Step 4: Simplify right side
    6,817x = 27,745,742.48
  5. Step 5: Solve for x
    x = 27,745,742.48/6,817
  6. Step 6: Final answer
    x = 4,070.08

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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.