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Finding the Fourth Proportional to 11,769.57, 17,658.96 and 5,191.14

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Solution

The fourth proportional to 11,769.57, 17,658.96 and 5,191.14 is: 7,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.57 : 17,658.96 = 5,191.14 : x
  2. Step 2: Convert to fraction form
    11,769.57/17,658.96 = 5,191.14/x
  3. Step 3: Cross multiply
    11,769.57x = 17,658.96 × 5,191.14
  4. Step 4: Simplify right side
    11,769.57x = 91,670,133.61
  5. Step 5: Solve for x
    x = 91,670,133.61/11,769.57
  6. Step 6: Final answer
    x = 7,788.74

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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.