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Finding the Fourth Proportional to 8,208.64, 12,312.96 and 3,829.16

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Solution

The fourth proportional to 8,208.64, 12,312.96 and 3,829.16 is: 5,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.64 : 12,312.96 = 3,829.16 : x
  2. Step 2: Convert to fraction form
    8,208.64/12,312.96 = 3,829.16/x
  3. Step 3: Cross multiply
    8,208.64x = 12,312.96 × 3,829.16
  4. Step 4: Simplify right side
    8,208.64x = 47,148,293.91
  5. Step 5: Solve for x
    x = 47,148,293.91/8,208.64
  6. Step 6: Final answer
    x = 5,743.74

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