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Finding the Fourth Proportional to 11,136.84, 16,694.28 and 7,185.72

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Solution

The fourth proportional to 11,136.84, 16,694.28 and 7,185.72 is: 10,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.84 : 16,694.28 = 7,185.72 : x
  2. Step 2: Convert to fraction form
    11,136.84/16,694.28 = 7,185.72/x
  3. Step 3: Cross multiply
    11,136.84x = 16,694.28 × 7,185.72
  4. Step 4: Simplify right side
    11,136.84x = 119,960,421.68
  5. Step 5: Solve for x
    x = 119,960,421.68/11,136.84
  6. Step 6: Final answer
    x = 10,771.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.