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Finding the Fourth Proportional to 10,938.52, 16,409.40 and 5,744.80

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Solution

The fourth proportional to 10,938.52, 16,409.40 and 5,744.80 is: 8,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.52 : 16,409.40 = 5,744.80 : x
  2. Step 2: Convert to fraction form
    10,938.52/16,409.40 = 5,744.80/x
  3. Step 3: Cross multiply
    10,938.52x = 16,409.40 × 5,744.80
  4. Step 4: Simplify right side
    10,938.52x = 94,268,721.12
  5. Step 5: Solve for x
    x = 94,268,721.12/10,938.52
  6. Step 6: Final answer
    x = 8,618.05

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