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Finding the Fourth Proportional to 11,717.64, 17,576.46 and 5,872.88

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Solution

The fourth proportional to 11,717.64, 17,576.46 and 5,872.88 is: 8,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.64 : 17,576.46 = 5,872.88 : x
  2. Step 2: Convert to fraction form
    11,717.64/17,576.46 = 5,872.88/x
  3. Step 3: Cross multiply
    11,717.64x = 17,576.46 × 5,872.88
  4. Step 4: Simplify right side
    11,717.64x = 103,224,440.40
  5. Step 5: Solve for x
    x = 103,224,440.40/11,717.64
  6. Step 6: Final answer
    x = 8,809.32

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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.