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Finding the Fourth Proportional to 7,136.42, 10,708.16 and 3,441.78

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Solution

The fourth proportional to 7,136.42, 10,708.16 and 3,441.78 is: 5,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.42 : 10,708.16 = 3,441.78 : x
  2. Step 2: Convert to fraction form
    7,136.42/10,708.16 = 3,441.78/x
  3. Step 3: Cross multiply
    7,136.42x = 10,708.16 × 3,441.78
  4. Step 4: Simplify right side
    7,136.42x = 36,855,113.72
  5. Step 5: Solve for x
    x = 36,855,113.72/7,136.42
  6. Step 6: Final answer
    x = 5,164.37

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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.