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Finding the Fourth Proportional to 10,546.43, 14,554.08 and 5,766.41

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Solution

The fourth proportional to 10,546.43, 14,554.08 and 5,766.41 is: 7,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.43 : 14,554.08 = 5,766.41 : x
  2. Step 2: Convert to fraction form
    10,546.43/14,554.08 = 5,766.41/x
  3. Step 3: Cross multiply
    10,546.43x = 14,554.08 × 5,766.41
  4. Step 4: Simplify right side
    10,546.43x = 83,924,828.84
  5. Step 5: Solve for x
    x = 83,924,828.84/10,546.43
  6. Step 6: Final answer
    x = 7,957.66

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