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Finding the Fourth Proportional to 11,992, 16,548.96 and 7,026.88

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Solution

The fourth proportional to 11,992, 16,548.96 and 7,026.88 is: 9,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992 : 16,548.96 = 7,026.88 : x
  2. Step 2: Convert to fraction form
    11,992/16,548.96 = 7,026.88/x
  3. Step 3: Cross multiply
    11,992x = 16,548.96 × 7,026.88
  4. Step 4: Simplify right side
    11,992x = 116,287,556.04
  5. Step 5: Solve for x
    x = 116,287,556.04/11,992
  6. Step 6: Final answer
    x = 9,697.09

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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.