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Finding the Fourth Proportional to 11,791.28, 17,678.28 and 10,071.92

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Solution

The fourth proportional to 11,791.28, 17,678.28 and 10,071.92 is: 15,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.28 : 17,678.28 = 10,071.92 : x
  2. Step 2: Convert to fraction form
    11,791.28/17,678.28 = 10,071.92/x
  3. Step 3: Cross multiply
    11,791.28x = 17,678.28 × 10,071.92
  4. Step 4: Simplify right side
    11,791.28x = 178,054,221.90
  5. Step 5: Solve for x
    x = 178,054,221.90/11,791.28
  6. Step 6: Final answer
    x = 15,100.50

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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.