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Finding the Fourth Proportional to 11,585.28, 15,968.64 and 9,485.76

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Solution

The fourth proportional to 11,585.28, 15,968.64 and 9,485.76 is: 13,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.28 : 15,968.64 = 9,485.76 : x
  2. Step 2: Convert to fraction form
    11,585.28/15,968.64 = 9,485.76/x
  3. Step 3: Cross multiply
    11,585.28x = 15,968.64 × 9,485.76
  4. Step 4: Simplify right side
    11,585.28x = 151,474,686.57
  5. Step 5: Solve for x
    x = 151,474,686.57/11,585.28
  6. Step 6: Final answer
    x = 13,074.75

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