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Finding the Fourth Proportional to 6,912.88, 10,362.84 and 3,446.32

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Solution

The fourth proportional to 6,912.88, 10,362.84 and 3,446.32 is: 5,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.88 : 10,362.84 = 3,446.32 : x
  2. Step 2: Convert to fraction form
    6,912.88/10,362.84 = 3,446.32/x
  3. Step 3: Cross multiply
    6,912.88x = 10,362.84 × 3,446.32
  4. Step 4: Simplify right side
    6,912.88x = 35,713,662.75
  5. Step 5: Solve for x
    x = 35,713,662.75/6,912.88
  6. Step 6: Final answer
    x = 5,166.25

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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.