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Finding the Fourth Proportional to 7,635.67, 11,454.74 and 2,704.23

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Solution

The fourth proportional to 7,635.67, 11,454.74 and 2,704.23 is: 4,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.67 : 11,454.74 = 2,704.23 : x
  2. Step 2: Convert to fraction form
    7,635.67/11,454.74 = 2,704.23/x
  3. Step 3: Cross multiply
    7,635.67x = 11,454.74 × 2,704.23
  4. Step 4: Simplify right side
    7,635.67x = 30,976,248.17
  5. Step 5: Solve for x
    x = 30,976,248.17/7,635.67
  6. Step 6: Final answer
    x = 4,056.78

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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.