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Finding the Fourth Proportional to 7,136.35, 10,706.36 and 4,177.29

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Solution

The fourth proportional to 7,136.35, 10,706.36 and 4,177.29 is: 6,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.35 : 10,706.36 = 4,177.29 : x
  2. Step 2: Convert to fraction form
    7,136.35/10,706.36 = 4,177.29/x
  3. Step 3: Cross multiply
    7,136.35x = 10,706.36 × 4,177.29
  4. Step 4: Simplify right side
    7,136.35x = 44,723,570.56
  5. Step 5: Solve for x
    x = 44,723,570.56/7,136.35
  6. Step 6: Final answer
    x = 6,267.01

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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.