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Finding the Fourth Proportional to 11,763.35, 16,241 and 7,789.83

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Solution

The fourth proportional to 11,763.35, 16,241 and 7,789.83 is: 10,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.35 : 16,241 = 7,789.83 : x
  2. Step 2: Convert to fraction form
    11,763.35/16,241 = 7,789.83/x
  3. Step 3: Cross multiply
    11,763.35x = 16,241 × 7,789.83
  4. Step 4: Simplify right side
    11,763.35x = 126,514,629.03
  5. Step 5: Solve for x
    x = 126,514,629.03/11,763.35
  6. Step 6: Final answer
    x = 10,754.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.