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Finding the Fourth Proportional to 10,206.55, 15,311.22 and 3,631.15

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Solution

The fourth proportional to 10,206.55, 15,311.22 and 3,631.15 is: 5,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.55 : 15,311.22 = 3,631.15 : x
  2. Step 2: Convert to fraction form
    10,206.55/15,311.22 = 3,631.15/x
  3. Step 3: Cross multiply
    10,206.55x = 15,311.22 × 3,631.15
  4. Step 4: Simplify right side
    10,206.55x = 55,597,336.50
  5. Step 5: Solve for x
    x = 55,597,336.50/10,206.55
  6. Step 6: Final answer
    x = 5,447.22

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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.