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Finding the Fourth Proportional to 8,208.46, 12,294.33 and 3,819.34

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Solution

The fourth proportional to 8,208.46, 12,294.33 and 3,819.34 is: 5,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.46 : 12,294.33 = 3,819.34 : x
  2. Step 2: Convert to fraction form
    8,208.46/12,294.33 = 3,819.34/x
  3. Step 3: Cross multiply
    8,208.46x = 12,294.33 × 3,819.34
  4. Step 4: Simplify right side
    8,208.46x = 46,956,226.34
  5. Step 5: Solve for x
    x = 46,956,226.34/8,208.46
  6. Step 6: Final answer
    x = 5,720.47

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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.