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Finding the Fourth Proportional to 7,136.46, 10,705.72 and 2,206.54

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Solution

The fourth proportional to 7,136.46, 10,705.72 and 2,206.54 is: 3,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.46 : 10,705.72 = 2,206.54 : x
  2. Step 2: Convert to fraction form
    7,136.46/10,705.72 = 2,206.54/x
  3. Step 3: Cross multiply
    7,136.46x = 10,705.72 × 2,206.54
  4. Step 4: Simplify right side
    7,136.46x = 23,622,599.41
  5. Step 5: Solve for x
    x = 23,622,599.41/7,136.46
  6. Step 6: Final answer
    x = 3,310.13

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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.