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Finding the Fourth Proportional to 10,771.10, 14,863.14 and 5,990.82

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Solution

The fourth proportional to 10,771.10, 14,863.14 and 5,990.82 is: 8,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.10 : 14,863.14 = 5,990.82 : x
  2. Step 2: Convert to fraction form
    10,771.10/14,863.14 = 5,990.82/x
  3. Step 3: Cross multiply
    10,771.10x = 14,863.14 × 5,990.82
  4. Step 4: Simplify right side
    10,771.10x = 89,042,396.37
  5. Step 5: Solve for x
    x = 89,042,396.37/10,771.10
  6. Step 6: Final answer
    x = 8,266.79

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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.