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Finding the Fourth Proportional to 11,965.39, 16,511.96 and 7,491.60

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Solution

The fourth proportional to 11,965.39, 16,511.96 and 7,491.60 is: 10,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.39 : 16,511.96 = 7,491.60 : x
  2. Step 2: Convert to fraction form
    11,965.39/16,511.96 = 7,491.60/x
  3. Step 3: Cross multiply
    11,965.39x = 16,511.96 × 7,491.60
  4. Step 4: Simplify right side
    11,965.39x = 123,701,052.09
  5. Step 5: Solve for x
    x = 123,701,052.09/11,965.39
  6. Step 6: Final answer
    x = 10,338.24

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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.