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Finding the Fourth Proportional to 10,072.83, 15,099.97 and 5,396.04

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Solution

The fourth proportional to 10,072.83, 15,099.97 and 5,396.04 is: 8,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.83 : 15,099.97 = 5,396.04 : x
  2. Step 2: Convert to fraction form
    10,072.83/15,099.97 = 5,396.04/x
  3. Step 3: Cross multiply
    10,072.83x = 15,099.97 × 5,396.04
  4. Step 4: Simplify right side
    10,072.83x = 81,480,042.12
  5. Step 5: Solve for x
    x = 81,480,042.12/10,072.83
  6. Step 6: Final answer
    x = 8,089.09

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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.