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Finding the Fourth Proportional to 10,028.70, 15,034.55 and 5,647.41

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Solution

The fourth proportional to 10,028.70, 15,034.55 and 5,647.41 is: 8,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.70 : 15,034.55 = 5,647.41 : x
  2. Step 2: Convert to fraction form
    10,028.70/15,034.55 = 5,647.41/x
  3. Step 3: Cross multiply
    10,028.70x = 15,034.55 × 5,647.41
  4. Step 4: Simplify right side
    10,028.70x = 84,906,239.78
  5. Step 5: Solve for x
    x = 84,906,239.78/10,028.70
  6. Step 6: Final answer
    x = 8,466.33

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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.