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Finding the Fourth Proportional to 6,944.52, 10,406.34 and 2,780.40

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Solution

The fourth proportional to 6,944.52, 10,406.34 and 2,780.40 is: 4,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.52 : 10,406.34 = 2,780.40 : x
  2. Step 2: Convert to fraction form
    6,944.52/10,406.34 = 2,780.40/x
  3. Step 3: Cross multiply
    6,944.52x = 10,406.34 × 2,780.40
  4. Step 4: Simplify right side
    6,944.52x = 28,933,787.74
  5. Step 5: Solve for x
    x = 28,933,787.74/6,944.52
  6. Step 6: Final answer
    x = 4,166.42

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