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Finding the Fourth Proportional to 11,930.47, 17,882.20 and 6,074.71

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Solution

The fourth proportional to 11,930.47, 17,882.20 and 6,074.71 is: 9,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.47 : 17,882.20 = 6,074.71 : x
  2. Step 2: Convert to fraction form
    11,930.47/17,882.20 = 6,074.71/x
  3. Step 3: Cross multiply
    11,930.47x = 17,882.20 × 6,074.71
  4. Step 4: Simplify right side
    11,930.47x = 108,629,059.38
  5. Step 5: Solve for x
    x = 108,629,059.38/11,930.47
  6. Step 6: Final answer
    x = 9,105.18

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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.