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Finding the Fourth Proportional to 11,781.67, 17,662.91 and 6,516.47

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Solution

The fourth proportional to 11,781.67, 17,662.91 and 6,516.47 is: 9,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.67 : 17,662.91 = 6,516.47 : x
  2. Step 2: Convert to fraction form
    11,781.67/17,662.91 = 6,516.47/x
  3. Step 3: Cross multiply
    11,781.67x = 17,662.91 × 6,516.47
  4. Step 4: Simplify right side
    11,781.67x = 115,099,702.23
  5. Step 5: Solve for x
    x = 115,099,702.23/11,781.67
  6. Step 6: Final answer
    x = 9,769.39

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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.