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Finding the Fourth Proportional to 11,577.66, 17,362.58 and 3,784.64

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Solution

The fourth proportional to 11,577.66, 17,362.58 and 3,784.64 is: 5,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.66 : 17,362.58 = 3,784.64 : x
  2. Step 2: Convert to fraction form
    11,577.66/17,362.58 = 3,784.64/x
  3. Step 3: Cross multiply
    11,577.66x = 17,362.58 × 3,784.64
  4. Step 4: Simplify right side
    11,577.66x = 65,711,114.77
  5. Step 5: Solve for x
    x = 65,711,114.77/11,577.66
  6. Step 6: Final answer
    x = 5,675.68

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