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Finding the Fourth Proportional to 10,813.98, 16,218.39 and 4,149.12

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Solution

The fourth proportional to 10,813.98, 16,218.39 and 4,149.12 is: 6,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.98 : 16,218.39 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    10,813.98/16,218.39 = 4,149.12/x
  3. Step 3: Cross multiply
    10,813.98x = 16,218.39 × 4,149.12
  4. Step 4: Simplify right side
    10,813.98x = 67,292,046.32
  5. Step 5: Solve for x
    x = 67,292,046.32/10,813.98
  6. Step 6: Final answer
    x = 6,222.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.