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Finding the Fourth Proportional to 8,514.24, 12,773.16 and 2,671.44

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Solution

The fourth proportional to 8,514.24, 12,773.16 and 2,671.44 is: 4,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.24 : 12,773.16 = 2,671.44 : x
  2. Step 2: Convert to fraction form
    8,514.24/12,773.16 = 2,671.44/x
  3. Step 3: Cross multiply
    8,514.24x = 12,773.16 × 2,671.44
  4. Step 4: Simplify right side
    8,514.24x = 34,122,730.55
  5. Step 5: Solve for x
    x = 34,122,730.55/8,514.24
  6. Step 6: Final answer
    x = 4,007.72

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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.