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Finding the Fourth Proportional to 10,016.42, 15,034.82 and 5,022.41

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Solution

The fourth proportional to 10,016.42, 15,034.82 and 5,022.41 is: 7,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.42 : 15,034.82 = 5,022.41 : x
  2. Step 2: Convert to fraction form
    10,016.42/15,034.82 = 5,022.41/x
  3. Step 3: Cross multiply
    10,016.42x = 15,034.82 × 5,022.41
  4. Step 4: Simplify right side
    10,016.42x = 75,510,930.03
  5. Step 5: Solve for x
    x = 75,510,930.03/10,016.42
  6. Step 6: Final answer
    x = 7,538.72

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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.