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Finding the Fourth Proportional to 10,991.76, 16,485.60 and 3,198.72

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Solution

The fourth proportional to 10,991.76, 16,485.60 and 3,198.72 is: 4,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.76 : 16,485.60 = 3,198.72 : x
  2. Step 2: Convert to fraction form
    10,991.76/16,485.60 = 3,198.72/x
  3. Step 3: Cross multiply
    10,991.76x = 16,485.60 × 3,198.72
  4. Step 4: Simplify right side
    10,991.76x = 52,732,818.43
  5. Step 5: Solve for x
    x = 52,732,818.43/10,991.76
  6. Step 6: Final answer
    x = 4,797.49

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Why These Related Problems?

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