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Finding the Fourth Proportional to 7,446.42, 11,170.76 and 2,447.13

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Solution

The fourth proportional to 7,446.42, 11,170.76 and 2,447.13 is: 3,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.42 : 11,170.76 = 2,447.13 : x
  2. Step 2: Convert to fraction form
    7,446.42/11,170.76 = 2,447.13/x
  3. Step 3: Cross multiply
    7,446.42x = 11,170.76 × 2,447.13
  4. Step 4: Simplify right side
    7,446.42x = 27,336,289.68
  5. Step 5: Solve for x
    x = 27,336,289.68/7,446.42
  6. Step 6: Final answer
    x = 3,671.06

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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.