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Finding the Fourth Proportional to 10,033.22, 15,049.83 and 5,902.02

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Solution

The fourth proportional to 10,033.22, 15,049.83 and 5,902.02 is: 8,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.22 : 15,049.83 = 5,902.02 : x
  2. Step 2: Convert to fraction form
    10,033.22/15,049.83 = 5,902.02/x
  3. Step 3: Cross multiply
    10,033.22x = 15,049.83 × 5,902.02
  4. Step 4: Simplify right side
    10,033.22x = 88,824,397.66
  5. Step 5: Solve for x
    x = 88,824,397.66/10,033.22
  6. Step 6: Final answer
    x = 8,853.03

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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.