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Finding the Fourth Proportional to 9,262.38, 12,755.15 and 8,050.54

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Solution

The fourth proportional to 9,262.38, 12,755.15 and 8,050.54 is: 11,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.38 : 12,755.15 = 8,050.54 : x
  2. Step 2: Convert to fraction form
    9,262.38/12,755.15 = 8,050.54/x
  3. Step 3: Cross multiply
    9,262.38x = 12,755.15 × 8,050.54
  4. Step 4: Simplify right side
    9,262.38x = 102,685,872.53
  5. Step 5: Solve for x
    x = 102,685,872.53/9,262.38
  6. Step 6: Final answer
    x = 11,086.33

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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.