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Finding the Fourth Proportional to 7,720.92, 11,580.66 and 3,827.88

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Solution

The fourth proportional to 7,720.92, 11,580.66 and 3,827.88 is: 5,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.92 : 11,580.66 = 3,827.88 : x
  2. Step 2: Convert to fraction form
    7,720.92/11,580.66 = 3,827.88/x
  3. Step 3: Cross multiply
    7,720.92x = 11,580.66 × 3,827.88
  4. Step 4: Simplify right side
    7,720.92x = 44,329,376.80
  5. Step 5: Solve for x
    x = 44,329,376.80/7,720.92
  6. Step 6: Final answer
    x = 5,741.46

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