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Finding the Fourth Proportional to 7,682.25, 11,524.89 and 2,750.57

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Solution

The fourth proportional to 7,682.25, 11,524.89 and 2,750.57 is: 4,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.25 : 11,524.89 = 2,750.57 : x
  2. Step 2: Convert to fraction form
    7,682.25/11,524.89 = 2,750.57/x
  3. Step 3: Cross multiply
    7,682.25x = 11,524.89 × 2,750.57
  4. Step 4: Simplify right side
    7,682.25x = 31,699,959.06
  5. Step 5: Solve for x
    x = 31,699,959.06/7,682.25
  6. Step 6: Final answer
    x = 4,126.39

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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.