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Finding the Fourth Proportional to 8,194.29, 11,308.10 and 4,468.29

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Solution

The fourth proportional to 8,194.29, 11,308.10 and 4,468.29 is: 6,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.29 : 11,308.10 = 4,468.29 : x
  2. Step 2: Convert to fraction form
    8,194.29/11,308.10 = 4,468.29/x
  3. Step 3: Cross multiply
    8,194.29x = 11,308.10 × 4,468.29
  4. Step 4: Simplify right side
    8,194.29x = 50,527,847.81
  5. Step 5: Solve for x
    x = 50,527,847.81/8,194.29
  6. Step 6: Final answer
    x = 6,166.23

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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.