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Finding the Fourth Proportional to 10,997.12, 16,498.49 and 3,205.91

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Solution

The fourth proportional to 10,997.12, 16,498.49 and 3,205.91 is: 4,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.12 : 16,498.49 = 3,205.91 : x
  2. Step 2: Convert to fraction form
    10,997.12/16,498.49 = 3,205.91/x
  3. Step 3: Cross multiply
    10,997.12x = 16,498.49 × 3,205.91
  4. Step 4: Simplify right side
    10,997.12x = 52,892,575.55
  5. Step 5: Solve for x
    x = 52,892,575.55/10,997.12
  6. Step 6: Final answer
    x = 4,809.68

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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.