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Finding the Fourth Proportional to 8,563.93, 12,845.74 and 3,369.80

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Solution

The fourth proportional to 8,563.93, 12,845.74 and 3,369.80 is: 5,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.93 : 12,845.74 = 3,369.80 : x
  2. Step 2: Convert to fraction form
    8,563.93/12,845.74 = 3,369.80/x
  3. Step 3: Cross multiply
    8,563.93x = 12,845.74 × 3,369.80
  4. Step 4: Simplify right side
    8,563.93x = 43,287,604.66
  5. Step 5: Solve for x
    x = 43,287,604.66/8,563.93
  6. Step 6: Final answer
    x = 5,054.64

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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.