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Finding the Fourth Proportional to 7,136.46, 10,706.10 and 5,057.18

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Solution

The fourth proportional to 7,136.46, 10,706.10 and 5,057.18 is: 7,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.46 : 10,706.10 = 5,057.18 : x
  2. Step 2: Convert to fraction form
    7,136.46/10,706.10 = 5,057.18/x
  3. Step 3: Cross multiply
    7,136.46x = 10,706.10 × 5,057.18
  4. Step 4: Simplify right side
    7,136.46x = 54,142,674.80
  5. Step 5: Solve for x
    x = 54,142,674.80/7,136.46
  6. Step 6: Final answer
    x = 7,586.77

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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.