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Finding the Fourth Proportional to 10,814.28, 14,920.56 and 6,784.44

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Solution

The fourth proportional to 10,814.28, 14,920.56 and 6,784.44 is: 9,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.28 : 14,920.56 = 6,784.44 : x
  2. Step 2: Convert to fraction form
    10,814.28/14,920.56 = 6,784.44/x
  3. Step 3: Cross multiply
    10,814.28x = 14,920.56 × 6,784.44
  4. Step 4: Simplify right side
    10,814.28x = 101,227,644.09
  5. Step 5: Solve for x
    x = 101,227,644.09/10,814.28
  6. Step 6: Final answer
    x = 9,360.55

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