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Finding the Fourth Proportional to 8,204.92, 11,322.78 and 4,668.16

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Solution

The fourth proportional to 8,204.92, 11,322.78 and 4,668.16 is: 6,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.92 : 11,322.78 = 4,668.16 : x
  2. Step 2: Convert to fraction form
    8,204.92/11,322.78 = 4,668.16/x
  3. Step 3: Cross multiply
    8,204.92x = 11,322.78 × 4,668.16
  4. Step 4: Simplify right side
    8,204.92x = 52,856,548.68
  5. Step 5: Solve for x
    x = 52,856,548.68/8,204.92
  6. Step 6: Final answer
    x = 6,442.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.