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Finding the Fourth Proportional to 10,933.80, 16,400.70 and 7,823.40

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Solution

The fourth proportional to 10,933.80, 16,400.70 and 7,823.40 is: 11,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.80 : 16,400.70 = 7,823.40 : x
  2. Step 2: Convert to fraction form
    10,933.80/16,400.70 = 7,823.40/x
  3. Step 3: Cross multiply
    10,933.80x = 16,400.70 × 7,823.40
  4. Step 4: Simplify right side
    10,933.80x = 128,309,236.38
  5. Step 5: Solve for x
    x = 128,309,236.38/10,933.80
  6. Step 6: Final answer
    x = 11,735.10

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