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Finding the Fourth Proportional to 10,136.69, 15,205.19 and 3,562.95

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Solution

The fourth proportional to 10,136.69, 15,205.19 and 3,562.95 is: 5,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.69 : 15,205.19 = 3,562.95 : x
  2. Step 2: Convert to fraction form
    10,136.69/15,205.19 = 3,562.95/x
  3. Step 3: Cross multiply
    10,136.69x = 15,205.19 × 3,562.95
  4. Step 4: Simplify right side
    10,136.69x = 54,175,313.90
  5. Step 5: Solve for x
    x = 54,175,313.90/10,136.69
  6. Step 6: Final answer
    x = 5,344.48

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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.