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Finding the Fourth Proportional to 11,978.88, 16,533 and 6,942.36

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Solution

The fourth proportional to 11,978.88, 16,533 and 6,942.36 is: 9,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.88 : 16,533 = 6,942.36 : x
  2. Step 2: Convert to fraction form
    11,978.88/16,533 = 6,942.36/x
  3. Step 3: Cross multiply
    11,978.88x = 16,533 × 6,942.36
  4. Step 4: Simplify right side
    11,978.88x = 114,778,037.88
  5. Step 5: Solve for x
    x = 114,778,037.88/11,978.88
  6. Step 6: Final answer
    x = 9,581.70

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