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Finding the Fourth Proportional to 6,683.57, 10,024.77 and 2,004.63

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Solution

The fourth proportional to 6,683.57, 10,024.77 and 2,004.63 is: 3,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.57 : 10,024.77 = 2,004.63 : x
  2. Step 2: Convert to fraction form
    6,683.57/10,024.77 = 2,004.63/x
  3. Step 3: Cross multiply
    6,683.57x = 10,024.77 × 2,004.63
  4. Step 4: Simplify right side
    6,683.57x = 20,095,954.69
  5. Step 5: Solve for x
    x = 20,095,954.69/6,683.57
  6. Step 6: Final answer
    x = 3,006.77

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