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Finding the Fourth Proportional to 11,902.28, 17,855.91 and 4,506.57

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Solution

The fourth proportional to 11,902.28, 17,855.91 and 4,506.57 is: 6,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.28 : 17,855.91 = 4,506.57 : x
  2. Step 2: Convert to fraction form
    11,902.28/17,855.91 = 4,506.57/x
  3. Step 3: Cross multiply
    11,902.28x = 17,855.91 × 4,506.57
  4. Step 4: Simplify right side
    11,902.28x = 80,468,908.33
  5. Step 5: Solve for x
    x = 80,468,908.33/11,902.28
  6. Step 6: Final answer
    x = 6,760.80

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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.