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Finding the Fourth Proportional to 7,682.72, 11,523.72 and 2,751.44

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Solution

The fourth proportional to 7,682.72, 11,523.72 and 2,751.44 is: 4,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.72 : 11,523.72 = 2,751.44 : x
  2. Step 2: Convert to fraction form
    7,682.72/11,523.72 = 2,751.44/x
  3. Step 3: Cross multiply
    7,682.72x = 11,523.72 × 2,751.44
  4. Step 4: Simplify right side
    7,682.72x = 31,706,824.16
  5. Step 5: Solve for x
    x = 31,706,824.16/7,682.72
  6. Step 6: Final answer
    x = 4,127.03

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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.