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Finding the Fourth Proportional to 11,296.46, 16,940.64 and 3,899

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Solution

The fourth proportional to 11,296.46, 16,940.64 and 3,899 is: 5,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.46 : 16,940.64 = 3,899 : x
  2. Step 2: Convert to fraction form
    11,296.46/16,940.64 = 3,899/x
  3. Step 3: Cross multiply
    11,296.46x = 16,940.64 × 3,899
  4. Step 4: Simplify right side
    11,296.46x = 66,051,555.36
  5. Step 5: Solve for x
    x = 66,051,555.36/11,296.46
  6. Step 6: Final answer
    x = 5,847.10

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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.