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Finding the Fourth Proportional to 6,892.40, 10,338.60 and 2,509.89

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Solution

The fourth proportional to 6,892.40, 10,338.60 and 2,509.89 is: 3,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.40 : 10,338.60 = 2,509.89 : x
  2. Step 2: Convert to fraction form
    6,892.40/10,338.60 = 2,509.89/x
  3. Step 3: Cross multiply
    6,892.40x = 10,338.60 × 2,509.89
  4. Step 4: Simplify right side
    6,892.40x = 25,948,748.75
  5. Step 5: Solve for x
    x = 25,948,748.75/6,892.40
  6. Step 6: Final answer
    x = 3,764.84

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