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Finding the Fourth Proportional to 11,136.84, 16,707.11 and 4,116.87

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Solution

The fourth proportional to 11,136.84, 16,707.11 and 4,116.87 is: 6,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.84 : 16,707.11 = 4,116.87 : x
  2. Step 2: Convert to fraction form
    11,136.84/16,707.11 = 4,116.87/x
  3. Step 3: Cross multiply
    11,136.84x = 16,707.11 × 4,116.87
  4. Step 4: Simplify right side
    11,136.84x = 68,780,979.36
  5. Step 5: Solve for x
    x = 68,780,979.36/11,136.84
  6. Step 6: Final answer
    x = 6,175.99

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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.