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Finding the Fourth Proportional to 11,616, 17,431.68 and 5,460.48

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Solution

The fourth proportional to 11,616, 17,431.68 and 5,460.48 is: 8,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 17,431.68 = 5,460.48 : x
  2. Step 2: Convert to fraction form
    11,616/17,431.68 = 5,460.48/x
  3. Step 3: Cross multiply
    11,616x = 17,431.68 × 5,460.48
  4. Step 4: Simplify right side
    11,616x = 95,185,340.01
  5. Step 5: Solve for x
    x = 95,185,340.01/11,616
  6. Step 6: Final answer
    x = 8,194.33

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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.