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Finding the Fourth Proportional to 11,609.28, 16,023.36 and 7,136.82

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Solution

The fourth proportional to 11,609.28, 16,023.36 and 7,136.82 is: 9,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.28 : 16,023.36 = 7,136.82 : x
  2. Step 2: Convert to fraction form
    11,609.28/16,023.36 = 7,136.82/x
  3. Step 3: Cross multiply
    11,609.28x = 16,023.36 × 7,136.82
  4. Step 4: Simplify right side
    11,609.28x = 114,355,836.12
  5. Step 5: Solve for x
    x = 114,355,836.12/11,609.28
  6. Step 6: Final answer
    x = 9,850.38

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Why These Related Problems?

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