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Finding the Fourth Proportional to 10,202.33, 15,297.82 and 3,958.45

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Solution

The fourth proportional to 10,202.33, 15,297.82 and 3,958.45 is: 5,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.33 : 15,297.82 = 3,958.45 : x
  2. Step 2: Convert to fraction form
    10,202.33/15,297.82 = 3,958.45/x
  3. Step 3: Cross multiply
    10,202.33x = 15,297.82 × 3,958.45
  4. Step 4: Simplify right side
    10,202.33x = 60,555,655.58
  5. Step 5: Solve for x
    x = 60,555,655.58/10,202.33
  6. Step 6: Final answer
    x = 5,935.47

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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.