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Finding the Fourth Proportional to 10,584.43, 15,878.10 and 6,144.18

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Solution

The fourth proportional to 10,584.43, 15,878.10 and 6,144.18 is: 9,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.43 : 15,878.10 = 6,144.18 : x
  2. Step 2: Convert to fraction form
    10,584.43/15,878.10 = 6,144.18/x
  3. Step 3: Cross multiply
    10,584.43x = 15,878.10 × 6,144.18
  4. Step 4: Simplify right side
    10,584.43x = 97,557,990.13
  5. Step 5: Solve for x
    x = 97,557,990.13/10,584.43
  6. Step 6: Final answer
    x = 9,217.12

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