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Finding the Fourth Proportional to 6,906.88, 10,361.38 and 2,523.30

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Solution

The fourth proportional to 6,906.88, 10,361.38 and 2,523.30 is: 3,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.88 : 10,361.38 = 2,523.30 : x
  2. Step 2: Convert to fraction form
    6,906.88/10,361.38 = 2,523.30/x
  3. Step 3: Cross multiply
    6,906.88x = 10,361.38 × 2,523.30
  4. Step 4: Simplify right side
    6,906.88x = 26,144,870.15
  5. Step 5: Solve for x
    x = 26,144,870.15/6,906.88
  6. Step 6: Final answer
    x = 3,785.34

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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.