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Finding the Fourth Proportional to 7,833.64, 11,750.64 and 3,154.12

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Solution

The fourth proportional to 7,833.64, 11,750.64 and 3,154.12 is: 4,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.64 : 11,750.64 = 3,154.12 : x
  2. Step 2: Convert to fraction form
    7,833.64/11,750.64 = 3,154.12/x
  3. Step 3: Cross multiply
    7,833.64x = 11,750.64 × 3,154.12
  4. Step 4: Simplify right side
    7,833.64x = 37,062,928.64
  5. Step 5: Solve for x
    x = 37,062,928.64/7,833.64
  6. Step 6: Final answer
    x = 4,731.25

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