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Finding the Fourth Proportional to 7,383.88, 11,026.88 and 6,489.64

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Solution

The fourth proportional to 7,383.88, 11,026.88 and 6,489.64 is: 9,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.88 : 11,026.88 = 6,489.64 : x
  2. Step 2: Convert to fraction form
    7,383.88/11,026.88 = 6,489.64/x
  3. Step 3: Cross multiply
    7,383.88x = 11,026.88 × 6,489.64
  4. Step 4: Simplify right side
    7,383.88x = 71,560,481.52
  5. Step 5: Solve for x
    x = 71,560,481.52/7,383.88
  6. Step 6: Final answer
    x = 9,691.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.