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Finding the Fourth Proportional to 10,366.56, 14,296.20 and 6,823.64

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Solution

The fourth proportional to 10,366.56, 14,296.20 and 6,823.64 is: 9,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.56 : 14,296.20 = 6,823.64 : x
  2. Step 2: Convert to fraction form
    10,366.56/14,296.20 = 6,823.64/x
  3. Step 3: Cross multiply
    10,366.56x = 14,296.20 × 6,823.64
  4. Step 4: Simplify right side
    10,366.56x = 97,552,122.17
  5. Step 5: Solve for x
    x = 97,552,122.17/10,366.56
  6. Step 6: Final answer
    x = 9,410.27

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