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Finding the Fourth Proportional to 8,182, 11,291.16 and 4,456

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Solution

The fourth proportional to 8,182, 11,291.16 and 4,456 is: 6,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182 : 11,291.16 = 4,456 : x
  2. Step 2: Convert to fraction form
    8,182/11,291.16 = 4,456/x
  3. Step 3: Cross multiply
    8,182x = 11,291.16 × 4,456
  4. Step 4: Simplify right side
    8,182x = 50,313,408.96
  5. Step 5: Solve for x
    x = 50,313,408.96/8,182
  6. Step 6: Final answer
    x = 6,149.28

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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.