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Finding the Fourth Proportional to 11,736, 16,190.73 and 7,251.98

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Solution

The fourth proportional to 11,736, 16,190.73 and 7,251.98 is: 10,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736 : 16,190.73 = 7,251.98 : x
  2. Step 2: Convert to fraction form
    11,736/16,190.73 = 7,251.98/x
  3. Step 3: Cross multiply
    11,736x = 16,190.73 × 7,251.98
  4. Step 4: Simplify right side
    11,736x = 117,414,769.19
  5. Step 5: Solve for x
    x = 117,414,769.19/11,736
  6. Step 6: Final answer
    x = 10,004.67

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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.