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Finding the Fourth Proportional to 10,057.81, 13,880.26 and 5,581.60

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Solution

The fourth proportional to 10,057.81, 13,880.26 and 5,581.60 is: 7,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.81 : 13,880.26 = 5,581.60 : x
  2. Step 2: Convert to fraction form
    10,057.81/13,880.26 = 5,581.60/x
  3. Step 3: Cross multiply
    10,057.81x = 13,880.26 × 5,581.60
  4. Step 4: Simplify right side
    10,057.81x = 77,474,052.15
  5. Step 5: Solve for x
    x = 77,474,052.15/10,057.81
  6. Step 6: Final answer
    x = 7,702.87

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