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Finding the Fourth Proportional to 10,234.52, 14,129.34 and 8,212.76

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Solution

The fourth proportional to 10,234.52, 14,129.34 and 8,212.76 is: 11,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.52 : 14,129.34 = 8,212.76 : x
  2. Step 2: Convert to fraction form
    10,234.52/14,129.34 = 8,212.76/x
  3. Step 3: Cross multiply
    10,234.52x = 14,129.34 × 8,212.76
  4. Step 4: Simplify right side
    10,234.52x = 116,040,878.38
  5. Step 5: Solve for x
    x = 116,040,878.38/10,234.52
  6. Step 6: Final answer
    x = 11,338.18

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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.