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Finding the Fourth Proportional to 10,234.38, 14,062.24 and 8,134.86

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Solution

The fourth proportional to 10,234.38, 14,062.24 and 8,134.86 is: 11,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.38 : 14,062.24 = 8,134.86 : x
  2. Step 2: Convert to fraction form
    10,234.38/14,062.24 = 8,134.86/x
  3. Step 3: Cross multiply
    10,234.38x = 14,062.24 × 8,134.86
  4. Step 4: Simplify right side
    10,234.38x = 114,394,353.69
  5. Step 5: Solve for x
    x = 114,394,353.69/10,234.38
  6. Step 6: Final answer
    x = 11,177.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.