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Finding the Fourth Proportional to 11,634.73, 17,455.16 and 6,086.59

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Solution

The fourth proportional to 11,634.73, 17,455.16 and 6,086.59 is: 9,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.73 : 17,455.16 = 6,086.59 : x
  2. Step 2: Convert to fraction form
    11,634.73/17,455.16 = 6,086.59/x
  3. Step 3: Cross multiply
    11,634.73x = 17,455.16 × 6,086.59
  4. Step 4: Simplify right side
    11,634.73x = 106,242,373.88
  5. Step 5: Solve for x
    x = 106,242,373.88/11,634.73
  6. Step 6: Final answer
    x = 9,131.49

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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.