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Finding the Fourth Proportional to 7,577.60, 11,344.80 and 4,661.60

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Solution

The fourth proportional to 7,577.60, 11,344.80 and 4,661.60 is: 6,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.60 : 11,344.80 = 4,661.60 : x
  2. Step 2: Convert to fraction form
    7,577.60/11,344.80 = 4,661.60/x
  3. Step 3: Cross multiply
    7,577.60x = 11,344.80 × 4,661.60
  4. Step 4: Simplify right side
    7,577.60x = 52,884,919.68
  5. Step 5: Solve for x
    x = 52,884,919.68/7,577.60
  6. Step 6: Final answer
    x = 6,979.11

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