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Finding the Fourth Proportional to 10,206.14, 15,295.44 and 7,733.21

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Solution

The fourth proportional to 10,206.14, 15,295.44 and 7,733.21 is: 11,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.14 : 15,295.44 = 7,733.21 : x
  2. Step 2: Convert to fraction form
    10,206.14/15,295.44 = 7,733.21/x
  3. Step 3: Cross multiply
    10,206.14x = 15,295.44 × 7,733.21
  4. Step 4: Simplify right side
    10,206.14x = 118,282,849.56
  5. Step 5: Solve for x
    x = 118,282,849.56/10,206.14
  6. Step 6: Final answer
    x = 11,589.38

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