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Finding the Fourth Proportional to 11,576.16, 17,361.90 and 3,256.56

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Solution

The fourth proportional to 11,576.16, 17,361.90 and 3,256.56 is: 4,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.16 : 17,361.90 = 3,256.56 : x
  2. Step 2: Convert to fraction form
    11,576.16/17,361.90 = 3,256.56/x
  3. Step 3: Cross multiply
    11,576.16x = 17,361.90 × 3,256.56
  4. Step 4: Simplify right side
    11,576.16x = 56,540,069.06
  5. Step 5: Solve for x
    x = 56,540,069.06/11,576.16
  6. Step 6: Final answer
    x = 4,884.18

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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.