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Finding the Fourth Proportional to 6,778.53, 10,170.27 and 3,493.17

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Solution

The fourth proportional to 6,778.53, 10,170.27 and 3,493.17 is: 5,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.53 : 10,170.27 = 3,493.17 : x
  2. Step 2: Convert to fraction form
    6,778.53/10,170.27 = 3,493.17/x
  3. Step 3: Cross multiply
    6,778.53x = 10,170.27 × 3,493.17
  4. Step 4: Simplify right side
    6,778.53x = 35,526,482.06
  5. Step 5: Solve for x
    x = 35,526,482.06/6,778.53
  6. Step 6: Final answer
    x = 5,241.03

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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.