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Finding the Fourth Proportional to 8,228.27, 11,354.96 and 4,451.42

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Solution

The fourth proportional to 8,228.27, 11,354.96 and 4,451.42 is: 6,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.27 : 11,354.96 = 4,451.42 : x
  2. Step 2: Convert to fraction form
    8,228.27/11,354.96 = 4,451.42/x
  3. Step 3: Cross multiply
    8,228.27x = 11,354.96 × 4,451.42
  4. Step 4: Simplify right side
    8,228.27x = 50,545,617.01
  5. Step 5: Solve for x
    x = 50,545,617.01/8,228.27
  6. Step 6: Final answer
    x = 6,142.93

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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.