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Finding the Fourth Proportional to 8,161.38, 11,262.39 and 4,624.74

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Solution

The fourth proportional to 8,161.38, 11,262.39 and 4,624.74 is: 6,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.38 : 11,262.39 = 4,624.74 : x
  2. Step 2: Convert to fraction form
    8,161.38/11,262.39 = 4,624.74/x
  3. Step 3: Cross multiply
    8,161.38x = 11,262.39 × 4,624.74
  4. Step 4: Simplify right side
    8,161.38x = 52,085,625.53
  5. Step 5: Solve for x
    x = 52,085,625.53/8,161.38
  6. Step 6: Final answer
    x = 6,381.96

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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.