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Finding the Fourth Proportional to 10,538.23, 15,807.95 and 3,964.47

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Solution

The fourth proportional to 10,538.23, 15,807.95 and 3,964.47 is: 5,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.23 : 15,807.95 = 3,964.47 : x
  2. Step 2: Convert to fraction form
    10,538.23/15,807.95 = 3,964.47/x
  3. Step 3: Cross multiply
    10,538.23x = 15,807.95 × 3,964.47
  4. Step 4: Simplify right side
    10,538.23x = 62,670,143.54
  5. Step 5: Solve for x
    x = 62,670,143.54/10,538.23
  6. Step 6: Final answer
    x = 5,946.93

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