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Finding the Fourth Proportional to 10,409.70, 14,365.44 and 5,629.64

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Solution

The fourth proportional to 10,409.70, 14,365.44 and 5,629.64 is: 7,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.70 : 14,365.44 = 5,629.64 : x
  2. Step 2: Convert to fraction form
    10,409.70/14,365.44 = 5,629.64/x
  3. Step 3: Cross multiply
    10,409.70x = 14,365.44 × 5,629.64
  4. Step 4: Simplify right side
    10,409.70x = 80,872,255.64
  5. Step 5: Solve for x
    x = 80,872,255.64/10,409.70
  6. Step 6: Final answer
    x = 7,768.93

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