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Finding the Fourth Proportional to 8,204.75, 12,308 and 2,281.62

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Solution

The fourth proportional to 8,204.75, 12,308 and 2,281.62 is: 3,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.75 : 12,308 = 2,281.62 : x
  2. Step 2: Convert to fraction form
    8,204.75/12,308 = 2,281.62/x
  3. Step 3: Cross multiply
    8,204.75x = 12,308 × 2,281.62
  4. Step 4: Simplify right side
    8,204.75x = 28,082,178.96
  5. Step 5: Solve for x
    x = 28,082,178.96/8,204.75
  6. Step 6: Final answer
    x = 3,422.67

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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.