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Finding the Fourth Proportional to 8,676.84, 13,013.91 and 2,832.15

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Solution

The fourth proportional to 8,676.84, 13,013.91 and 2,832.15 is: 4,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.84 : 13,013.91 = 2,832.15 : x
  2. Step 2: Convert to fraction form
    8,676.84/13,013.91 = 2,832.15/x
  3. Step 3: Cross multiply
    8,676.84x = 13,013.91 × 2,832.15
  4. Step 4: Simplify right side
    8,676.84x = 36,857,345.21
  5. Step 5: Solve for x
    x = 36,857,345.21/8,676.84
  6. Step 6: Final answer
    x = 4,247.78

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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.