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Finding the Fourth Proportional to 12,103.26, 16,704.18 and 6,798.48

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Solution

The fourth proportional to 12,103.26, 16,704.18 and 6,798.48 is: 9,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.26 : 16,704.18 = 6,798.48 : x
  2. Step 2: Convert to fraction form
    12,103.26/16,704.18 = 6,798.48/x
  3. Step 3: Cross multiply
    12,103.26x = 16,704.18 × 6,798.48
  4. Step 4: Simplify right side
    12,103.26x = 113,563,033.65
  5. Step 5: Solve for x
    x = 113,563,033.65/12,103.26
  6. Step 6: Final answer
    x = 9,382.85

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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.