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Finding the Fourth Proportional to 10,978.68, 16,463.42 and 6,812.44

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Solution

The fourth proportional to 10,978.68, 16,463.42 and 6,812.44 is: 10,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.68 : 16,463.42 = 6,812.44 : x
  2. Step 2: Convert to fraction form
    10,978.68/16,463.42 = 6,812.44/x
  3. Step 3: Cross multiply
    10,978.68x = 16,463.42 × 6,812.44
  4. Step 4: Simplify right side
    10,978.68x = 112,156,060.94
  5. Step 5: Solve for x
    x = 112,156,060.94/10,978.68
  6. Step 6: Final answer
    x = 10,215.81

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