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Finding the Fourth Proportional to 10,661.88, 15,992.98 and 3,266.42

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Solution

The fourth proportional to 10,661.88, 15,992.98 and 3,266.42 is: 4,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.88 : 15,992.98 = 3,266.42 : x
  2. Step 2: Convert to fraction form
    10,661.88/15,992.98 = 3,266.42/x
  3. Step 3: Cross multiply
    10,661.88x = 15,992.98 × 3,266.42
  4. Step 4: Simplify right side
    10,661.88x = 52,239,789.73
  5. Step 5: Solve for x
    x = 52,239,789.73/10,661.88
  6. Step 6: Final answer
    x = 4,899.68

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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.