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Finding the Fourth Proportional to 10,539.96, 15,786.64 and 6,830.97

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Solution

The fourth proportional to 10,539.96, 15,786.64 and 6,830.97 is: 10,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.96 : 15,786.64 = 6,830.97 : x
  2. Step 2: Convert to fraction form
    10,539.96/15,786.64 = 6,830.97/x
  3. Step 3: Cross multiply
    10,539.96x = 15,786.64 × 6,830.97
  4. Step 4: Simplify right side
    10,539.96x = 107,838,064.24
  5. Step 5: Solve for x
    x = 107,838,064.24/10,539.96
  6. Step 6: Final answer
    x = 10,231.35

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