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Finding the Fourth Proportional to 12,104.15, 16,704.15 and 6,798.85

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Solution

The fourth proportional to 12,104.15, 16,704.15 and 6,798.85 is: 9,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.15 : 16,704.15 = 6,798.85 : x
  2. Step 2: Convert to fraction form
    12,104.15/16,704.15 = 6,798.85/x
  3. Step 3: Cross multiply
    12,104.15x = 16,704.15 × 6,798.85
  4. Step 4: Simplify right side
    12,104.15x = 113,568,968.47
  5. Step 5: Solve for x
    x = 113,568,968.47/12,104.15
  6. Step 6: Final answer
    x = 9,382.65

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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.