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Finding the Fourth Proportional to 7,691.25, 11,535.69 and 2,144.01

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Solution

The fourth proportional to 7,691.25, 11,535.69 and 2,144.01 is: 3,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.25 : 11,535.69 = 2,144.01 : x
  2. Step 2: Convert to fraction form
    7,691.25/11,535.69 = 2,144.01/x
  3. Step 3: Cross multiply
    7,691.25x = 11,535.69 × 2,144.01
  4. Step 4: Simplify right side
    7,691.25x = 24,732,634.72
  5. Step 5: Solve for x
    x = 24,732,634.72/7,691.25
  6. Step 6: Final answer
    x = 3,215.68

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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.