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Finding the Fourth Proportional to 11,537.75, 15,930.63 and 7,067.61

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Solution

The fourth proportional to 11,537.75, 15,930.63 and 7,067.61 is: 9,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.75 : 15,930.63 = 7,067.61 : x
  2. Step 2: Convert to fraction form
    11,537.75/15,930.63 = 7,067.61/x
  3. Step 3: Cross multiply
    11,537.75x = 15,930.63 × 7,067.61
  4. Step 4: Simplify right side
    11,537.75x = 112,591,479.89
  5. Step 5: Solve for x
    x = 112,591,479.89/11,537.75
  6. Step 6: Final answer
    x = 9,758.53

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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.