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Finding the Fourth Proportional to 8,112.72, 12,147.06 and 6,785.94

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Solution

The fourth proportional to 8,112.72, 12,147.06 and 6,785.94 is: 10,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.72 : 12,147.06 = 6,785.94 : x
  2. Step 2: Convert to fraction form
    8,112.72/12,147.06 = 6,785.94/x
  3. Step 3: Cross multiply
    8,112.72x = 12,147.06 × 6,785.94
  4. Step 4: Simplify right side
    8,112.72x = 82,429,220.34
  5. Step 5: Solve for x
    x = 82,429,220.34/8,112.72
  6. Step 6: Final answer
    x = 10,160.49

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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.