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Finding the Fourth Proportional to 8,514.46, 12,773.73 and 2,671.06

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Solution

The fourth proportional to 8,514.46, 12,773.73 and 2,671.06 is: 4,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.46 : 12,773.73 = 2,671.06 : x
  2. Step 2: Convert to fraction form
    8,514.46/12,773.73 = 2,671.06/x
  3. Step 3: Cross multiply
    8,514.46x = 12,773.73 × 2,671.06
  4. Step 4: Simplify right side
    8,514.46x = 34,119,399.25
  5. Step 5: Solve for x
    x = 34,119,399.25/8,514.46
  6. Step 6: Final answer
    x = 4,007.23

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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.