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Finding the Fourth Proportional to 8,514.90, 12,769.07 and 4,071.38

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Solution

The fourth proportional to 8,514.90, 12,769.07 and 4,071.38 is: 6,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.90 : 12,769.07 = 4,071.38 : x
  2. Step 2: Convert to fraction form
    8,514.90/12,769.07 = 4,071.38/x
  3. Step 3: Cross multiply
    8,514.90x = 12,769.07 × 4,071.38
  4. Step 4: Simplify right side
    8,514.90x = 51,987,652.01
  5. Step 5: Solve for x
    x = 51,987,652.01/8,514.90
  6. Step 6: Final answer
    x = 6,105.49

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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.