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Finding the Fourth Proportional to 7,667.24, 11,500.56 and 2,195.24

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Solution

The fourth proportional to 7,667.24, 11,500.56 and 2,195.24 is: 3,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.24 : 11,500.56 = 2,195.24 : x
  2. Step 2: Convert to fraction form
    7,667.24/11,500.56 = 2,195.24/x
  3. Step 3: Cross multiply
    7,667.24x = 11,500.56 × 2,195.24
  4. Step 4: Simplify right side
    7,667.24x = 25,246,489.33
  5. Step 5: Solve for x
    x = 25,246,489.33/7,667.24
  6. Step 6: Final answer
    x = 3,292.77

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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.