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Finding the Fourth Proportional to 10,978.08, 15,149.70 and 5,942.28

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Solution

The fourth proportional to 10,978.08, 15,149.70 and 5,942.28 is: 8,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.08 : 15,149.70 = 5,942.28 : x
  2. Step 2: Convert to fraction form
    10,978.08/15,149.70 = 5,942.28/x
  3. Step 3: Cross multiply
    10,978.08x = 15,149.70 × 5,942.28
  4. Step 4: Simplify right side
    10,978.08x = 90,023,759.32
  5. Step 5: Solve for x
    x = 90,023,759.32/10,978.08
  6. Step 6: Final answer
    x = 8,200.32

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