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Finding the Fourth Proportional to 7,720.28, 11,580.96 and 3,823.64

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Solution

The fourth proportional to 7,720.28, 11,580.96 and 3,823.64 is: 5,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.28 : 11,580.96 = 3,823.64 : x
  2. Step 2: Convert to fraction form
    7,720.28/11,580.96 = 3,823.64/x
  3. Step 3: Cross multiply
    7,720.28x = 11,580.96 × 3,823.64
  4. Step 4: Simplify right side
    7,720.28x = 44,281,421.89
  5. Step 5: Solve for x
    x = 44,281,421.89/7,720.28
  6. Step 6: Final answer
    x = 5,735.73

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