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Finding the Fourth Proportional to 11,768.31, 17,623.31 and 8,057.70

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Solution

The fourth proportional to 11,768.31, 17,623.31 and 8,057.70 is: 12,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.31 : 17,623.31 = 8,057.70 : x
  2. Step 2: Convert to fraction form
    11,768.31/17,623.31 = 8,057.70/x
  3. Step 3: Cross multiply
    11,768.31x = 17,623.31 × 8,057.70
  4. Step 4: Simplify right side
    11,768.31x = 142,003,304.70
  5. Step 5: Solve for x
    x = 142,003,304.70/11,768.31
  6. Step 6: Final answer
    x = 12,066.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.