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Finding the Fourth Proportional to 7,683.41, 11,525.10 and 2,136.78

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Solution

The fourth proportional to 7,683.41, 11,525.10 and 2,136.78 is: 3,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.41 : 11,525.10 = 2,136.78 : x
  2. Step 2: Convert to fraction form
    7,683.41/11,525.10 = 2,136.78/x
  3. Step 3: Cross multiply
    7,683.41x = 11,525.10 × 2,136.78
  4. Step 4: Simplify right side
    7,683.41x = 24,626,607.18
  5. Step 5: Solve for x
    x = 24,626,607.18/7,683.41
  6. Step 6: Final answer
    x = 3,205.17

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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.