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Finding the Fourth Proportional to 10,986.56, 16,482.56 and 3,195.44

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Solution

The fourth proportional to 10,986.56, 16,482.56 and 3,195.44 is: 4,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.56 : 16,482.56 = 3,195.44 : x
  2. Step 2: Convert to fraction form
    10,986.56/16,482.56 = 3,195.44/x
  3. Step 3: Cross multiply
    10,986.56x = 16,482.56 × 3,195.44
  4. Step 4: Simplify right side
    10,986.56x = 52,669,031.53
  5. Step 5: Solve for x
    x = 52,669,031.53/10,986.56
  6. Step 6: Final answer
    x = 4,793.95

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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.