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Finding the Fourth Proportional to 7,667.32, 11,500.66 and 2,195.32

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Solution

The fourth proportional to 7,667.32, 11,500.66 and 2,195.32 is: 3,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.32 : 11,500.66 = 2,195.32 : x
  2. Step 2: Convert to fraction form
    7,667.32/11,500.66 = 2,195.32/x
  3. Step 3: Cross multiply
    7,667.32x = 11,500.66 × 2,195.32
  4. Step 4: Simplify right side
    7,667.32x = 25,247,628.91
  5. Step 5: Solve for x
    x = 25,247,628.91/7,667.32
  6. Step 6: Final answer
    x = 3,292.89

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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.