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Finding the Fourth Proportional to 8,514.64, 12,774.11 and 2,671.30

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Solution

The fourth proportional to 8,514.64, 12,774.11 and 2,671.30 is: 4,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.64 : 12,774.11 = 2,671.30 : x
  2. Step 2: Convert to fraction form
    8,514.64/12,774.11 = 2,671.30/x
  3. Step 3: Cross multiply
    8,514.64x = 12,774.11 × 2,671.30
  4. Step 4: Simplify right side
    8,514.64x = 34,123,454.79
  5. Step 5: Solve for x
    x = 34,123,454.79/8,514.64
  6. Step 6: Final answer
    x = 4,007.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.