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Finding the Fourth Proportional to 8,021.69, 12,034.97 and 3,637.97

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Solution

The fourth proportional to 8,021.69, 12,034.97 and 3,637.97 is: 5,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.69 : 12,034.97 = 3,637.97 : x
  2. Step 2: Convert to fraction form
    8,021.69/12,034.97 = 3,637.97/x
  3. Step 3: Cross multiply
    8,021.69x = 12,034.97 × 3,637.97
  4. Step 4: Simplify right side
    8,021.69x = 43,782,859.81
  5. Step 5: Solve for x
    x = 43,782,859.81/8,021.69
  6. Step 6: Final answer
    x = 5,458.06

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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.