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Finding the Fourth Proportional to 8,344, 12,514.51 and 3,663.15

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Solution

The fourth proportional to 8,344, 12,514.51 and 3,663.15 is: 5,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 12,514.51 = 3,663.15 : x
  2. Step 2: Convert to fraction form
    8,344/12,514.51 = 3,663.15/x
  3. Step 3: Cross multiply
    8,344x = 12,514.51 × 3,663.15
  4. Step 4: Simplify right side
    8,344x = 45,842,527.31
  5. Step 5: Solve for x
    x = 45,842,527.31/8,344
  6. Step 6: Final answer
    x = 5,494.07

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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.