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Finding the Fourth Proportional to 8,267.38, 11,408.65 and 4,490.46

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Solution

The fourth proportional to 8,267.38, 11,408.65 and 4,490.46 is: 6,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.38 : 11,408.65 = 4,490.46 : x
  2. Step 2: Convert to fraction form
    8,267.38/11,408.65 = 4,490.46/x
  3. Step 3: Cross multiply
    8,267.38x = 11,408.65 × 4,490.46
  4. Step 4: Simplify right side
    8,267.38x = 51,230,086.48
  5. Step 5: Solve for x
    x = 51,230,086.48/8,267.38
  6. Step 6: Final answer
    x = 6,196.65

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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.