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Finding the Fourth Proportional to 11,691.72, 17,537.94 and 5,114.52

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Solution

The fourth proportional to 11,691.72, 17,537.94 and 5,114.52 is: 7,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.72 : 17,537.94 = 5,114.52 : x
  2. Step 2: Convert to fraction form
    11,691.72/17,537.94 = 5,114.52/x
  3. Step 3: Cross multiply
    11,691.72x = 17,537.94 × 5,114.52
  4. Step 4: Simplify right side
    11,691.72x = 89,698,144.89
  5. Step 5: Solve for x
    x = 89,698,144.89/11,691.72
  6. Step 6: Final answer
    x = 7,671.94

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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.