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Finding the Fourth Proportional to 8,514.72, 12,771.78 and 4,131

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Solution

The fourth proportional to 8,514.72, 12,771.78 and 4,131 is: 6,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.72 : 12,771.78 = 4,131 : x
  2. Step 2: Convert to fraction form
    8,514.72/12,771.78 = 4,131/x
  3. Step 3: Cross multiply
    8,514.72x = 12,771.78 × 4,131
  4. Step 4: Simplify right side
    8,514.72x = 52,760,207.69
  5. Step 5: Solve for x
    x = 52,760,207.69/8,514.72
  6. Step 6: Final answer
    x = 6,196.35

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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.