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Finding the Fourth Proportional to 10,029.89, 15,072.11 and 5,353.22

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Solution

The fourth proportional to 10,029.89, 15,072.11 and 5,353.22 is: 8,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.89 : 15,072.11 = 5,353.22 : x
  2. Step 2: Convert to fraction form
    10,029.89/15,072.11 = 5,353.22/x
  3. Step 3: Cross multiply
    10,029.89x = 15,072.11 × 5,353.22
  4. Step 4: Simplify right side
    10,029.89x = 80,684,351.68
  5. Step 5: Solve for x
    x = 80,684,351.68/10,029.89
  6. Step 6: Final answer
    x = 8,044.39

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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.