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Finding the Fourth Proportional to 11,744.85, 16,198.41 and 7,265.46

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Solution

The fourth proportional to 11,744.85, 16,198.41 and 7,265.46 is: 10,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.85 : 16,198.41 = 7,265.46 : x
  2. Step 2: Convert to fraction form
    11,744.85/16,198.41 = 7,265.46/x
  3. Step 3: Cross multiply
    11,744.85x = 16,198.41 × 7,265.46
  4. Step 4: Simplify right side
    11,744.85x = 117,688,899.92
  5. Step 5: Solve for x
    x = 117,688,899.92/11,744.85
  6. Step 6: Final answer
    x = 10,020.47

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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.