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Finding the Fourth Proportional to 8,516.36, 12,774.14 and 2,276.24

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Solution

The fourth proportional to 8,516.36, 12,774.14 and 2,276.24 is: 3,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.36 : 12,774.14 = 2,276.24 : x
  2. Step 2: Convert to fraction form
    8,516.36/12,774.14 = 2,276.24/x
  3. Step 3: Cross multiply
    8,516.36x = 12,774.14 × 2,276.24
  4. Step 4: Simplify right side
    8,516.36x = 29,077,008.43
  5. Step 5: Solve for x
    x = 29,077,008.43/8,516.36
  6. Step 6: Final answer
    x = 3,414.25

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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.