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Finding the Fourth Proportional to 7,635.97, 11,454.87 and 2,704.60

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Solution

The fourth proportional to 7,635.97, 11,454.87 and 2,704.60 is: 4,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.97 : 11,454.87 = 2,704.60 : x
  2. Step 2: Convert to fraction form
    7,635.97/11,454.87 = 2,704.60/x
  3. Step 3: Cross multiply
    7,635.97x = 11,454.87 × 2,704.60
  4. Step 4: Simplify right side
    7,635.97x = 30,980,841.40
  5. Step 5: Solve for x
    x = 30,980,841.40/7,635.97
  6. Step 6: Final answer
    x = 4,057.22

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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.