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Finding the Fourth Proportional to 8,408.20, 12,612.30 and 8,278.60

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Solution

The fourth proportional to 8,408.20, 12,612.30 and 8,278.60 is: 12,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.20 : 12,612.30 = 8,278.60 : x
  2. Step 2: Convert to fraction form
    8,408.20/12,612.30 = 8,278.60/x
  3. Step 3: Cross multiply
    8,408.20x = 12,612.30 × 8,278.60
  4. Step 4: Simplify right side
    8,408.20x = 104,412,186.78
  5. Step 5: Solve for x
    x = 104,412,186.78/8,408.20
  6. Step 6: Final answer
    x = 12,417.90

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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.