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Finding the Fourth Proportional to 7,136.40, 10,706.22 and 3,849.42

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Solution

The fourth proportional to 7,136.40, 10,706.22 and 3,849.42 is: 5,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.40 : 10,706.22 = 3,849.42 : x
  2. Step 2: Convert to fraction form
    7,136.40/10,706.22 = 3,849.42/x
  3. Step 3: Cross multiply
    7,136.40x = 10,706.22 × 3,849.42
  4. Step 4: Simplify right side
    7,136.40x = 41,212,683.86
  5. Step 5: Solve for x
    x = 41,212,683.86/7,136.40
  6. Step 6: Final answer
    x = 5,775.00

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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.