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Finding the Fourth Proportional to 7,635.86, 11,449.94 and 2,704.80

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Solution

The fourth proportional to 7,635.86, 11,449.94 and 2,704.80 is: 4,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.86 : 11,449.94 = 2,704.80 : x
  2. Step 2: Convert to fraction form
    7,635.86/11,449.94 = 2,704.80/x
  3. Step 3: Cross multiply
    7,635.86x = 11,449.94 × 2,704.80
  4. Step 4: Simplify right side
    7,635.86x = 30,969,784.19
  5. Step 5: Solve for x
    x = 30,969,784.19/7,635.86
  6. Step 6: Final answer
    x = 4,055.84

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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.