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Finding the Fourth Proportional to 11,769.44, 17,658.72 and 5,190.98

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Solution

The fourth proportional to 11,769.44, 17,658.72 and 5,190.98 is: 7,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.44 : 17,658.72 = 5,190.98 : x
  2. Step 2: Convert to fraction form
    11,769.44/17,658.72 = 5,190.98/x
  3. Step 3: Cross multiply
    11,769.44x = 17,658.72 × 5,190.98
  4. Step 4: Simplify right side
    11,769.44x = 91,666,062.35
  5. Step 5: Solve for x
    x = 91,666,062.35/11,769.44
  6. Step 6: Final answer
    x = 7,788.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.