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Finding the Fourth Proportional to 8,449.20, 12,676.32 and 4,066.80

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Solution

The fourth proportional to 8,449.20, 12,676.32 and 4,066.80 is: 6,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.20 : 12,676.32 = 4,066.80 : x
  2. Step 2: Convert to fraction form
    8,449.20/12,676.32 = 4,066.80/x
  3. Step 3: Cross multiply
    8,449.20x = 12,676.32 × 4,066.80
  4. Step 4: Simplify right side
    8,449.20x = 51,552,058.18
  5. Step 5: Solve for x
    x = 51,552,058.18/8,449.20
  6. Step 6: Final answer
    x = 6,101.41

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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.