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Finding the Fourth Proportional to 8,408.44, 12,609.76 and 2,483.76

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Solution

The fourth proportional to 8,408.44, 12,609.76 and 2,483.76 is: 3,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.44 : 12,609.76 = 2,483.76 : x
  2. Step 2: Convert to fraction form
    8,408.44/12,609.76 = 2,483.76/x
  3. Step 3: Cross multiply
    8,408.44x = 12,609.76 × 2,483.76
  4. Step 4: Simplify right side
    8,408.44x = 31,319,617.50
  5. Step 5: Solve for x
    x = 31,319,617.50/8,408.44
  6. Step 6: Final answer
    x = 3,724.78

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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.