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Finding the Fourth Proportional to 6,906.56, 10,357.61 and 2,745.81

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Solution

The fourth proportional to 6,906.56, 10,357.61 and 2,745.81 is: 4,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.56 : 10,357.61 = 2,745.81 : x
  2. Step 2: Convert to fraction form
    6,906.56/10,357.61 = 2,745.81/x
  3. Step 3: Cross multiply
    6,906.56x = 10,357.61 × 2,745.81
  4. Step 4: Simplify right side
    6,906.56x = 28,440,015.39
  5. Step 5: Solve for x
    x = 28,440,015.39/6,906.56
  6. Step 6: Final answer
    x = 4,117.83

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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.