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Finding the Fourth Proportional to 8,134.14, 11,225.13 and 4,408.14

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Solution

The fourth proportional to 8,134.14, 11,225.13 and 4,408.14 is: 6,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.14 : 11,225.13 = 4,408.14 : x
  2. Step 2: Convert to fraction form
    8,134.14/11,225.13 = 4,408.14/x
  3. Step 3: Cross multiply
    8,134.14x = 11,225.13 × 4,408.14
  4. Step 4: Simplify right side
    8,134.14x = 49,481,944.56
  5. Step 5: Solve for x
    x = 49,481,944.56/8,134.14
  6. Step 6: Final answer
    x = 6,083.24

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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.