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Finding the Fourth Proportional to 11,791.52, 17,662.32 and 8,076.32

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Solution

The fourth proportional to 11,791.52, 17,662.32 and 8,076.32 is: 12,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.52 : 17,662.32 = 8,076.32 : x
  2. Step 2: Convert to fraction form
    11,791.52/17,662.32 = 8,076.32/x
  3. Step 3: Cross multiply
    11,791.52x = 17,662.32 × 8,076.32
  4. Step 4: Simplify right side
    11,791.52x = 142,646,548.26
  5. Step 5: Solve for x
    x = 142,646,548.26/11,791.52
  6. Step 6: Final answer
    x = 12,097.38

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1.5x scale

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.