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Finding the Fourth Proportional to 10,997.25, 16,498.61 and 3,206.07

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Solution

The fourth proportional to 10,997.25, 16,498.61 and 3,206.07 is: 4,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.25 : 16,498.61 = 3,206.07 : x
  2. Step 2: Convert to fraction form
    10,997.25/16,498.61 = 3,206.07/x
  3. Step 3: Cross multiply
    10,997.25x = 16,498.61 × 3,206.07
  4. Step 4: Simplify right side
    10,997.25x = 52,895,682.53
  5. Step 5: Solve for x
    x = 52,895,682.53/10,997.25
  6. Step 6: Final answer
    x = 4,809.90

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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.