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Finding the Fourth Proportional to 8,408.63, 12,612.49 and 2,564.79

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Solution

The fourth proportional to 8,408.63, 12,612.49 and 2,564.79 is: 3,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.63 : 12,612.49 = 2,564.79 : x
  2. Step 2: Convert to fraction form
    8,408.63/12,612.49 = 2,564.79/x
  3. Step 3: Cross multiply
    8,408.63x = 12,612.49 × 2,564.79
  4. Step 4: Simplify right side
    8,408.63x = 32,348,388.23
  5. Step 5: Solve for x
    x = 32,348,388.23/8,408.63
  6. Step 6: Final answer
    x = 3,847.05

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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.