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Finding the Fourth Proportional to 11,886.52, 17,791.22 and 6,331.96

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Solution

The fourth proportional to 11,886.52, 17,791.22 and 6,331.96 is: 9,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.52 : 17,791.22 = 6,331.96 : x
  2. Step 2: Convert to fraction form
    11,886.52/17,791.22 = 6,331.96/x
  3. Step 3: Cross multiply
    11,886.52x = 17,791.22 × 6,331.96
  4. Step 4: Simplify right side
    11,886.52x = 112,653,293.39
  5. Step 5: Solve for x
    x = 112,653,293.39/11,886.52
  6. Step 6: Final answer
    x = 9,477.40

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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.