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Finding the Fourth Proportional to 7,136.54, 10,704.81 and 2,206.07

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Solution

The fourth proportional to 7,136.54, 10,704.81 and 2,206.07 is: 3,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.54 : 10,704.81 = 2,206.07 : x
  2. Step 2: Convert to fraction form
    7,136.54/10,704.81 = 2,206.07/x
  3. Step 3: Cross multiply
    7,136.54x = 10,704.81 × 2,206.07
  4. Step 4: Simplify right side
    7,136.54x = 23,615,560.20
  5. Step 5: Solve for x
    x = 23,615,560.20/7,136.54
  6. Step 6: Final answer
    x = 3,309.11

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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.