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Finding the Fourth Proportional to 8,514.86, 12,771.63 and 2,671.34

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Solution

The fourth proportional to 8,514.86, 12,771.63 and 2,671.34 is: 4,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.86 : 12,771.63 = 2,671.34 : x
  2. Step 2: Convert to fraction form
    8,514.86/12,771.63 = 2,671.34/x
  3. Step 3: Cross multiply
    8,514.86x = 12,771.63 × 2,671.34
  4. Step 4: Simplify right side
    8,514.86x = 34,117,302.23
  5. Step 5: Solve for x
    x = 34,117,302.23/8,514.86
  6. Step 6: Final answer
    x = 4,006.80

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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.