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Finding the Fourth Proportional to 11,965.52, 17,951.28 and 7,039.28

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Solution

The fourth proportional to 11,965.52, 17,951.28 and 7,039.28 is: 10,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.52 : 17,951.28 = 7,039.28 : x
  2. Step 2: Convert to fraction form
    11,965.52/17,951.28 = 7,039.28/x
  3. Step 3: Cross multiply
    11,965.52x = 17,951.28 × 7,039.28
  4. Step 4: Simplify right side
    11,965.52x = 126,364,086.28
  5. Step 5: Solve for x
    x = 126,364,086.28/11,965.52
  6. Step 6: Final answer
    x = 10,560.68

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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.