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Finding the Fourth Proportional to 8,516.26, 12,774.99 and 2,276.14

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Solution

The fourth proportional to 8,516.26, 12,774.99 and 2,276.14 is: 3,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.26 : 12,774.99 = 2,276.14 : x
  2. Step 2: Convert to fraction form
    8,516.26/12,774.99 = 2,276.14/x
  3. Step 3: Cross multiply
    8,516.26x = 12,774.99 × 2,276.14
  4. Step 4: Simplify right side
    8,516.26x = 29,077,665.74
  5. Step 5: Solve for x
    x = 29,077,665.74/8,516.26
  6. Step 6: Final answer
    x = 3,414.37

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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.