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Finding the Fourth Proportional to 11,769.82, 16,245.06 and 7,570.78

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Solution

The fourth proportional to 11,769.82, 16,245.06 and 7,570.78 is: 10,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.82 : 16,245.06 = 7,570.78 : x
  2. Step 2: Convert to fraction form
    11,769.82/16,245.06 = 7,570.78/x
  3. Step 3: Cross multiply
    11,769.82x = 16,245.06 × 7,570.78
  4. Step 4: Simplify right side
    11,769.82x = 122,987,775.35
  5. Step 5: Solve for x
    x = 122,987,775.35/11,769.82
  6. Step 6: Final answer
    x = 10,449.42

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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.