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Finding the Fourth Proportional to 8,514.35, 12,771.52 and 2,671.42

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Solution

The fourth proportional to 8,514.35, 12,771.52 and 2,671.42 is: 4,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.35 : 12,771.52 = 2,671.42 : x
  2. Step 2: Convert to fraction form
    8,514.35/12,771.52 = 2,671.42/x
  3. Step 3: Cross multiply
    8,514.35x = 12,771.52 × 2,671.42
  4. Step 4: Simplify right side
    8,514.35x = 34,118,055.35
  5. Step 5: Solve for x
    x = 34,118,055.35/8,514.35
  6. Step 6: Final answer
    x = 4,007.12

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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.