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Finding the Fourth Proportional to 10,136.54, 15,209.22 and 3,567.44

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Solution

The fourth proportional to 10,136.54, 15,209.22 and 3,567.44 is: 5,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.54 : 15,209.22 = 3,567.44 : x
  2. Step 2: Convert to fraction form
    10,136.54/15,209.22 = 3,567.44/x
  3. Step 3: Cross multiply
    10,136.54x = 15,209.22 × 3,567.44
  4. Step 4: Simplify right side
    10,136.54x = 54,257,979.80
  5. Step 5: Solve for x
    x = 54,257,979.80/10,136.54
  6. Step 6: Final answer
    x = 5,352.71

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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.