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Finding the Fourth Proportional to 11,228.24, 16,843.38 and 5,678.12

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Solution

The fourth proportional to 11,228.24, 16,843.38 and 5,678.12 is: 8,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.24 : 16,843.38 = 5,678.12 : x
  2. Step 2: Convert to fraction form
    11,228.24/16,843.38 = 5,678.12/x
  3. Step 3: Cross multiply
    11,228.24x = 16,843.38 × 5,678.12
  4. Step 4: Simplify right side
    11,228.24x = 95,638,732.85
  5. Step 5: Solve for x
    x = 95,638,732.85/11,228.24
  6. Step 6: Final answer
    x = 8,517.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.