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Finding the Fourth Proportional to 7,447.88, 11,171.82 and 2,253.76

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Solution

The fourth proportional to 7,447.88, 11,171.82 and 2,253.76 is: 3,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.88 : 11,171.82 = 2,253.76 : x
  2. Step 2: Convert to fraction form
    7,447.88/11,171.82 = 2,253.76/x
  3. Step 3: Cross multiply
    7,447.88x = 11,171.82 × 2,253.76
  4. Step 4: Simplify right side
    7,447.88x = 25,178,601.04
  5. Step 5: Solve for x
    x = 25,178,601.04/7,447.88
  6. Step 6: Final answer
    x = 3,380.64

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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.