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Finding the Fourth Proportional to 8,103.80, 11,183.46 and 4,566.80

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Solution

The fourth proportional to 8,103.80, 11,183.46 and 4,566.80 is: 6,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.80 : 11,183.46 = 4,566.80 : x
  2. Step 2: Convert to fraction form
    8,103.80/11,183.46 = 4,566.80/x
  3. Step 3: Cross multiply
    8,103.80x = 11,183.46 × 4,566.80
  4. Step 4: Simplify right side
    8,103.80x = 51,072,625.13
  5. Step 5: Solve for x
    x = 51,072,625.13/8,103.80
  6. Step 6: Final answer
    x = 6,302.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.