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Finding the Fourth Proportional to 11,388.69, 17,059.02 and 7,226.50

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Solution

The fourth proportional to 11,388.69, 17,059.02 and 7,226.50 is: 10,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.69 : 17,059.02 = 7,226.50 : x
  2. Step 2: Convert to fraction form
    11,388.69/17,059.02 = 7,226.50/x
  3. Step 3: Cross multiply
    11,388.69x = 17,059.02 × 7,226.50
  4. Step 4: Simplify right side
    11,388.69x = 123,277,008.03
  5. Step 5: Solve for x
    x = 123,277,008.03/11,388.69
  6. Step 6: Final answer
    x = 10,824.51

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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.