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Finding the Fourth Proportional to 10,996.84, 16,499.04 and 3,206.80

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Solution

The fourth proportional to 10,996.84, 16,499.04 and 3,206.80 is: 4,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.84 : 16,499.04 = 3,206.80 : x
  2. Step 2: Convert to fraction form
    10,996.84/16,499.04 = 3,206.80/x
  3. Step 3: Cross multiply
    10,996.84x = 16,499.04 × 3,206.80
  4. Step 4: Simplify right side
    10,996.84x = 52,909,121.47
  5. Step 5: Solve for x
    x = 52,909,121.47/10,996.84
  6. Step 6: Final answer
    x = 4,811.30

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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.