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Finding the Fourth Proportional to 10,453.39, 15,682.82 and 3,879.63

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Solution

The fourth proportional to 10,453.39, 15,682.82 and 3,879.63 is: 5,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.39 : 15,682.82 = 3,879.63 : x
  2. Step 2: Convert to fraction form
    10,453.39/15,682.82 = 3,879.63/x
  3. Step 3: Cross multiply
    10,453.39x = 15,682.82 × 3,879.63
  4. Step 4: Simplify right side
    10,453.39x = 60,843,519.56
  5. Step 5: Solve for x
    x = 60,843,519.56/10,453.39
  6. Step 6: Final answer
    x = 5,820.46

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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.