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Finding the Fourth Proportional to 11,912.58, 16,433.97 and 7,437.44

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Solution

The fourth proportional to 11,912.58, 16,433.97 and 7,437.44 is: 10,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.58 : 16,433.97 = 7,437.44 : x
  2. Step 2: Convert to fraction form
    11,912.58/16,433.97 = 7,437.44/x
  3. Step 3: Cross multiply
    11,912.58x = 16,433.97 × 7,437.44
  4. Step 4: Simplify right side
    11,912.58x = 122,226,665.84
  5. Step 5: Solve for x
    x = 122,226,665.84/11,912.58
  6. Step 6: Final answer
    x = 10,260.30

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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.