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Finding the Fourth Proportional to 11,624.64, 17,438.40 and 3,836.16

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Solution

The fourth proportional to 11,624.64, 17,438.40 and 3,836.16 is: 5,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.64 : 17,438.40 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    11,624.64/17,438.40 = 3,836.16/x
  3. Step 3: Cross multiply
    11,624.64x = 17,438.40 × 3,836.16
  4. Step 4: Simplify right side
    11,624.64x = 66,896,492.54
  5. Step 5: Solve for x
    x = 66,896,492.54/11,624.64
  6. Step 6: Final answer
    x = 5,754.72

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