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Finding the Fourth Proportional to 6,857.66, 10,288.58 and 2,906.88

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Solution

The fourth proportional to 6,857.66, 10,288.58 and 2,906.88 is: 4,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.66 : 10,288.58 = 2,906.88 : x
  2. Step 2: Convert to fraction form
    6,857.66/10,288.58 = 2,906.88/x
  3. Step 3: Cross multiply
    6,857.66x = 10,288.58 × 2,906.88
  4. Step 4: Simplify right side
    6,857.66x = 29,907,652.90
  5. Step 5: Solve for x
    x = 29,907,652.90/6,857.66
  6. Step 6: Final answer
    x = 4,361.21

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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.