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Finding the Fourth Proportional to 11,239.56, 16,861.74 and 4,314

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Solution

The fourth proportional to 11,239.56, 16,861.74 and 4,314 is: 6,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.56 : 16,861.74 = 4,314 : x
  2. Step 2: Convert to fraction form
    11,239.56/16,861.74 = 4,314/x
  3. Step 3: Cross multiply
    11,239.56x = 16,861.74 × 4,314
  4. Step 4: Simplify right side
    11,239.56x = 72,741,546.36
  5. Step 5: Solve for x
    x = 72,741,546.36/11,239.56
  6. Step 6: Final answer
    x = 6,471.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.