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Finding the Fourth Proportional to 11,972.50, 17,957.37 and 4,576.79

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Solution

The fourth proportional to 11,972.50, 17,957.37 and 4,576.79 is: 6,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.50 : 17,957.37 = 4,576.79 : x
  2. Step 2: Convert to fraction form
    11,972.50/17,957.37 = 4,576.79/x
  3. Step 3: Cross multiply
    11,972.50x = 17,957.37 × 4,576.79
  4. Step 4: Simplify right side
    11,972.50x = 82,187,111.44
  5. Step 5: Solve for x
    x = 82,187,111.44/11,972.50
  6. Step 6: Final answer
    x = 6,864.66

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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.