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Finding the Fourth Proportional to 7,294.47, 10,067.54 and 4,151.67

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Solution

The fourth proportional to 7,294.47, 10,067.54 and 4,151.67 is: 5,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.47 : 10,067.54 = 4,151.67 : x
  2. Step 2: Convert to fraction form
    7,294.47/10,067.54 = 4,151.67/x
  3. Step 3: Cross multiply
    7,294.47x = 10,067.54 × 4,151.67
  4. Step 4: Simplify right side
    7,294.47x = 41,797,083.03
  5. Step 5: Solve for x
    x = 41,797,083.03/7,294.47
  6. Step 6: Final answer
    x = 5,729.97

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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.