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Finding the Fourth Proportional to 10,660.92, 14,712.38 and 5,946.12

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Solution

The fourth proportional to 10,660.92, 14,712.38 and 5,946.12 is: 8,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.92 : 14,712.38 = 5,946.12 : x
  2. Step 2: Convert to fraction form
    10,660.92/14,712.38 = 5,946.12/x
  3. Step 3: Cross multiply
    10,660.92x = 14,712.38 × 5,946.12
  4. Step 4: Simplify right side
    10,660.92x = 87,481,576.97
  5. Step 5: Solve for x
    x = 87,481,576.97/10,660.92
  6. Step 6: Final answer
    x = 8,205.82

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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.