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Finding the Fourth Proportional to 10,034.97, 15,052.42 and 3,014.97

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Solution

The fourth proportional to 10,034.97, 15,052.42 and 3,014.97 is: 4,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.97 : 15,052.42 = 3,014.97 : x
  2. Step 2: Convert to fraction form
    10,034.97/15,052.42 = 3,014.97/x
  3. Step 3: Cross multiply
    10,034.97x = 15,052.42 × 3,014.97
  4. Step 4: Simplify right side
    10,034.97x = 45,382,594.73
  5. Step 5: Solve for x
    x = 45,382,594.73/10,034.97
  6. Step 6: Final answer
    x = 4,522.44

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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.