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Finding the Fourth Proportional to 8,134, 11,224.92 and 4,408

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Solution

The fourth proportional to 8,134, 11,224.92 and 4,408 is: 6,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 11,224.92 = 4,408 : x
  2. Step 2: Convert to fraction form
    8,134/11,224.92 = 4,408/x
  3. Step 3: Cross multiply
    8,134x = 11,224.92 × 4,408
  4. Step 4: Simplify right side
    8,134x = 49,479,447.36
  5. Step 5: Solve for x
    x = 49,479,447.36/8,134
  6. Step 6: Final answer
    x = 6,083.04

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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.