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Finding the Fourth Proportional to 7,667.08, 11,494.86 and 3,769.48

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Solution

The fourth proportional to 7,667.08, 11,494.86 and 3,769.48 is: 5,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.08 : 11,494.86 = 3,769.48 : x
  2. Step 2: Convert to fraction form
    7,667.08/11,494.86 = 3,769.48/x
  3. Step 3: Cross multiply
    7,667.08x = 11,494.86 × 3,769.48
  4. Step 4: Simplify right side
    7,667.08x = 43,329,644.87
  5. Step 5: Solve for x
    x = 43,329,644.87/7,667.08
  6. Step 6: Final answer
    x = 5,651.39

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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.