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Finding the Fourth Proportional to 10,584.46, 15,872.64 and 5,033.53

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Solution

The fourth proportional to 10,584.46, 15,872.64 and 5,033.53 is: 7,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.46 : 15,872.64 = 5,033.53 : x
  2. Step 2: Convert to fraction form
    10,584.46/15,872.64 = 5,033.53/x
  3. Step 3: Cross multiply
    10,584.46x = 15,872.64 × 5,033.53
  4. Step 4: Simplify right side
    10,584.46x = 79,895,409.62
  5. Step 5: Solve for x
    x = 79,895,409.62/10,584.46
  6. Step 6: Final answer
    x = 7,548.37

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