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Finding the Fourth Proportional to 10,978.80, 16,470.32 and 7,990.96

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Solution

The fourth proportional to 10,978.80, 16,470.32 and 7,990.96 is: 11,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.80 : 16,470.32 = 7,990.96 : x
  2. Step 2: Convert to fraction form
    10,978.80/16,470.32 = 7,990.96/x
  3. Step 3: Cross multiply
    10,978.80x = 16,470.32 × 7,990.96
  4. Step 4: Simplify right side
    10,978.80x = 131,613,668.31
  5. Step 5: Solve for x
    x = 131,613,668.31/10,978.80
  6. Step 6: Final answer
    x = 11,987.98

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