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Finding the Fourth Proportional to 6,781.05, 10,173.60 and 3,496.50

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Solution

The fourth proportional to 6,781.05, 10,173.60 and 3,496.50 is: 5,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.05 : 10,173.60 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    6,781.05/10,173.60 = 3,496.50/x
  3. Step 3: Cross multiply
    6,781.05x = 10,173.60 × 3,496.50
  4. Step 4: Simplify right side
    6,781.05x = 35,571,992.40
  5. Step 5: Solve for x
    x = 35,571,992.40/6,781.05
  6. Step 6: Final answer
    x = 5,245.79

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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.