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Finding the Fourth Proportional to 8,514.48, 11,740.29 and 5,995.80

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Solution

The fourth proportional to 8,514.48, 11,740.29 and 5,995.80 is: 8,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.48 : 11,740.29 = 5,995.80 : x
  2. Step 2: Convert to fraction form
    8,514.48/11,740.29 = 5,995.80/x
  3. Step 3: Cross multiply
    8,514.48x = 11,740.29 × 5,995.80
  4. Step 4: Simplify right side
    8,514.48x = 70,392,430.78
  5. Step 5: Solve for x
    x = 70,392,430.78/8,514.48
  6. Step 6: Final answer
    x = 8,267.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.