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Finding the Fourth Proportional to 8,457.09, 12,676.68 and 3,189.82

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Solution

The fourth proportional to 8,457.09, 12,676.68 and 3,189.82 is: 4,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.09 : 12,676.68 = 3,189.82 : x
  2. Step 2: Convert to fraction form
    8,457.09/12,676.68 = 3,189.82/x
  3. Step 3: Cross multiply
    8,457.09x = 12,676.68 × 3,189.82
  4. Step 4: Simplify right side
    8,457.09x = 40,436,327.40
  5. Step 5: Solve for x
    x = 40,436,327.40/8,457.09
  6. Step 6: Final answer
    x = 4,781.35

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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.