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Finding the Fourth Proportional to 6,705.96, 10,057.38 and 2,546.46

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Solution

The fourth proportional to 6,705.96, 10,057.38 and 2,546.46 is: 3,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.96 : 10,057.38 = 2,546.46 : x
  2. Step 2: Convert to fraction form
    6,705.96/10,057.38 = 2,546.46/x
  3. Step 3: Cross multiply
    6,705.96x = 10,057.38 × 2,546.46
  4. Step 4: Simplify right side
    6,705.96x = 25,610,715.87
  5. Step 5: Solve for x
    x = 25,610,715.87/6,705.96
  6. Step 6: Final answer
    x = 3,819.10

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