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Finding the Fourth Proportional to 11,912.67, 16,449.93 and 7,444.05

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Solution

The fourth proportional to 11,912.67, 16,449.93 and 7,444.05 is: 10,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.67 : 16,449.93 = 7,444.05 : x
  2. Step 2: Convert to fraction form
    11,912.67/16,449.93 = 7,444.05/x
  3. Step 3: Cross multiply
    11,912.67x = 16,449.93 × 7,444.05
  4. Step 4: Simplify right side
    11,912.67x = 122,454,101.42
  5. Step 5: Solve for x
    x = 122,454,101.42/11,912.67
  6. Step 6: Final answer
    x = 10,279.32

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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.