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Finding the Fourth Proportional to 11,696.96, 16,136.16 and 8,505.30

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Solution

The fourth proportional to 11,696.96, 16,136.16 and 8,505.30 is: 11,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.96 : 16,136.16 = 8,505.30 : x
  2. Step 2: Convert to fraction form
    11,696.96/16,136.16 = 8,505.30/x
  3. Step 3: Cross multiply
    11,696.96x = 16,136.16 × 8,505.30
  4. Step 4: Simplify right side
    11,696.96x = 137,242,881.65
  5. Step 5: Solve for x
    x = 137,242,881.65/11,696.96
  6. Step 6: Final answer
    x = 11,733.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.