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Finding the Fourth Proportional to 8,393.62, 11,576.90 and 8,021.38

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Solution

The fourth proportional to 8,393.62, 11,576.90 and 8,021.38 is: 11,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.62 : 11,576.90 = 8,021.38 : x
  2. Step 2: Convert to fraction form
    8,393.62/11,576.90 = 8,021.38/x
  3. Step 3: Cross multiply
    8,393.62x = 11,576.90 × 8,021.38
  4. Step 4: Simplify right side
    8,393.62x = 92,862,714.12
  5. Step 5: Solve for x
    x = 92,862,714.12/8,393.62
  6. Step 6: Final answer
    x = 11,063.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.