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Finding the Fourth Proportional to 8,103.68, 11,183.04 and 4,566.92

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Solution

The fourth proportional to 8,103.68, 11,183.04 and 4,566.92 is: 6,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.68 : 11,183.04 = 4,566.92 : x
  2. Step 2: Convert to fraction form
    8,103.68/11,183.04 = 4,566.92/x
  3. Step 3: Cross multiply
    8,103.68x = 11,183.04 × 4,566.92
  4. Step 4: Simplify right side
    8,103.68x = 51,072,049.04
  5. Step 5: Solve for x
    x = 51,072,049.04/8,103.68
  6. Step 6: Final answer
    x = 6,302.33

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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.