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Finding the Fourth Proportional to 8,408, 12,610.87 and 3,476.96

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Solution

The fourth proportional to 8,408, 12,610.87 and 3,476.96 is: 5,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 12,610.87 = 3,476.96 : x
  2. Step 2: Convert to fraction form
    8,408/12,610.87 = 3,476.96/x
  3. Step 3: Cross multiply
    8,408x = 12,610.87 × 3,476.96
  4. Step 4: Simplify right side
    8,408x = 43,847,490.56
  5. Step 5: Solve for x
    x = 43,847,490.56/8,408
  6. Step 6: Final answer
    x = 5,214.97

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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.