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Finding the Fourth Proportional to 10,996.80, 16,498.02 and 3,205.60

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Solution

The fourth proportional to 10,996.80, 16,498.02 and 3,205.60 is: 4,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.80 : 16,498.02 = 3,205.60 : x
  2. Step 2: Convert to fraction form
    10,996.80/16,498.02 = 3,205.60/x
  3. Step 3: Cross multiply
    10,996.80x = 16,498.02 × 3,205.60
  4. Step 4: Simplify right side
    10,996.80x = 52,886,052.91
  5. Step 5: Solve for x
    x = 52,886,052.91/10,996.80
  6. Step 6: Final answer
    x = 4,809.22

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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.