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Finding the Fourth Proportional to 8,181.59, 12,274.71 and 4,022.85

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Solution

The fourth proportional to 8,181.59, 12,274.71 and 4,022.85 is: 6,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.59 : 12,274.71 = 4,022.85 : x
  2. Step 2: Convert to fraction form
    8,181.59/12,274.71 = 4,022.85/x
  3. Step 3: Cross multiply
    8,181.59x = 12,274.71 × 4,022.85
  4. Step 4: Simplify right side
    8,181.59x = 49,379,317.12
  5. Step 5: Solve for x
    x = 49,379,317.12/8,181.59
  6. Step 6: Final answer
    x = 6,035.42

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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.