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Finding the Fourth Proportional to 11,576.57, 17,364.73 and 2,811.49

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Solution

The fourth proportional to 11,576.57, 17,364.73 and 2,811.49 is: 4,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.57 : 17,364.73 = 2,811.49 : x
  2. Step 2: Convert to fraction form
    11,576.57/17,364.73 = 2,811.49/x
  3. Step 3: Cross multiply
    11,576.57x = 17,364.73 × 2,811.49
  4. Step 4: Simplify right side
    11,576.57x = 48,820,817.26
  5. Step 5: Solve for x
    x = 48,820,817.26/11,576.57
  6. Step 6: Final answer
    x = 4,217.21

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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.