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Finding the Fourth Proportional to 10,241.64, 15,354.36 and 6,536.70

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Solution

The fourth proportional to 10,241.64, 15,354.36 and 6,536.70 is: 9,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.64 : 15,354.36 = 6,536.70 : x
  2. Step 2: Convert to fraction form
    10,241.64/15,354.36 = 6,536.70/x
  3. Step 3: Cross multiply
    10,241.64x = 15,354.36 × 6,536.70
  4. Step 4: Simplify right side
    10,241.64x = 100,366,845.01
  5. Step 5: Solve for x
    x = 100,366,845.01/10,241.64
  6. Step 6: Final answer
    x = 9,799.88

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