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Finding the Fourth Proportional to 7,136.10, 10,707.80 and 3,441.49

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Solution

The fourth proportional to 7,136.10, 10,707.80 and 3,441.49 is: 5,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.10 : 10,707.80 = 3,441.49 : x
  2. Step 2: Convert to fraction form
    7,136.10/10,707.80 = 3,441.49/x
  3. Step 3: Cross multiply
    7,136.10x = 10,707.80 × 3,441.49
  4. Step 4: Simplify right side
    7,136.10x = 36,850,742.65
  5. Step 5: Solve for x
    x = 36,850,742.65/7,136.10
  6. Step 6: Final answer
    x = 5,163.99

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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.