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Finding the Fourth Proportional to 10,043.91, 13,861.13 and 6,064.97

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Solution

The fourth proportional to 10,043.91, 13,861.13 and 6,064.97 is: 8,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.91 : 13,861.13 = 6,064.97 : x
  2. Step 2: Convert to fraction form
    10,043.91/13,861.13 = 6,064.97/x
  3. Step 3: Cross multiply
    10,043.91x = 13,861.13 × 6,064.97
  4. Step 4: Simplify right side
    10,043.91x = 84,067,237.99
  5. Step 5: Solve for x
    x = 84,067,237.99/10,043.91
  6. Step 6: Final answer
    x = 8,369.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.