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Finding the Fourth Proportional to 8,106.85, 11,175.38 and 6,512.92

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Solution

The fourth proportional to 8,106.85, 11,175.38 and 6,512.92 is: 8,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.85 : 11,175.38 = 6,512.92 : x
  2. Step 2: Convert to fraction form
    8,106.85/11,175.38 = 6,512.92/x
  3. Step 3: Cross multiply
    8,106.85x = 11,175.38 × 6,512.92
  4. Step 4: Simplify right side
    8,106.85x = 72,784,319.83
  5. Step 5: Solve for x
    x = 72,784,319.83/8,106.85
  6. Step 6: Final answer
    x = 8,978.12

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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.