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Finding the Fourth Proportional to 10,420.26, 15,596.82 and 6,865.31

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Solution

The fourth proportional to 10,420.26, 15,596.82 and 6,865.31 is: 10,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.26 : 15,596.82 = 6,865.31 : x
  2. Step 2: Convert to fraction form
    10,420.26/15,596.82 = 6,865.31/x
  3. Step 3: Cross multiply
    10,420.26x = 15,596.82 × 6,865.31
  4. Step 4: Simplify right side
    10,420.26x = 107,077,004.31
  5. Step 5: Solve for x
    x = 107,077,004.31/10,420.26
  6. Step 6: Final answer
    x = 10,275.85

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