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Finding the Fourth Proportional to 11,880, 17,813.46 and 8,136.09

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Solution

The fourth proportional to 11,880, 17,813.46 and 8,136.09 is: 12,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 17,813.46 = 8,136.09 : x
  2. Step 2: Convert to fraction form
    11,880/17,813.46 = 8,136.09/x
  3. Step 3: Cross multiply
    11,880x = 17,813.46 × 8,136.09
  4. Step 4: Simplify right side
    11,880x = 144,931,913.77
  5. Step 5: Solve for x
    x = 144,931,913.77/11,880
  6. Step 6: Final answer
    x = 12,199.66

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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.