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Finding the Fourth Proportional to 11,667.78, 16,104.24 and 7,689.60

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Solution

The fourth proportional to 11,667.78, 16,104.24 and 7,689.60 is: 10,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.78 : 16,104.24 = 7,689.60 : x
  2. Step 2: Convert to fraction form
    11,667.78/16,104.24 = 7,689.60/x
  3. Step 3: Cross multiply
    11,667.78x = 16,104.24 × 7,689.60
  4. Step 4: Simplify right side
    11,667.78x = 123,835,163.90
  5. Step 5: Solve for x
    x = 123,835,163.90/11,667.78
  6. Step 6: Final answer
    x = 10,613.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.