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Finding the Fourth Proportional to 10,136.87, 15,207.20 and 3,896.63

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Solution

The fourth proportional to 10,136.87, 15,207.20 and 3,896.63 is: 5,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.87 : 15,207.20 = 3,896.63 : x
  2. Step 2: Convert to fraction form
    10,136.87/15,207.20 = 3,896.63/x
  3. Step 3: Cross multiply
    10,136.87x = 15,207.20 × 3,896.63
  4. Step 4: Simplify right side
    10,136.87x = 59,256,812.25
  5. Step 5: Solve for x
    x = 59,256,812.25/10,136.87
  6. Step 6: Final answer
    x = 5,845.67

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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.