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Finding the Fourth Proportional to 11,475.46, 17,213.97 and 3,683.80

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Solution

The fourth proportional to 11,475.46, 17,213.97 and 3,683.80 is: 5,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.46 : 17,213.97 = 3,683.80 : x
  2. Step 2: Convert to fraction form
    11,475.46/17,213.97 = 3,683.80/x
  3. Step 3: Cross multiply
    11,475.46x = 17,213.97 × 3,683.80
  4. Step 4: Simplify right side
    11,475.46x = 63,412,822.69
  5. Step 5: Solve for x
    x = 63,412,822.69/11,475.46
  6. Step 6: Final answer
    x = 5,525.95

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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.