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Finding the Fourth Proportional to 10,311, 14,229.18 and 5,834.66

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Solution

The fourth proportional to 10,311, 14,229.18 and 5,834.66 is: 8,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 14,229.18 = 5,834.66 : x
  2. Step 2: Convert to fraction form
    10,311/14,229.18 = 5,834.66/x
  3. Step 3: Cross multiply
    10,311x = 14,229.18 × 5,834.66
  4. Step 4: Simplify right side
    10,311x = 83,022,427.38
  5. Step 5: Solve for x
    x = 83,022,427.38/10,311
  6. Step 6: Final answer
    x = 8,051.83

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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.