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Finding the Fourth Proportional to 10,676.75, 16,013.84 and 3,281.18

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Solution

The fourth proportional to 10,676.75, 16,013.84 and 3,281.18 is: 4,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.75 : 16,013.84 = 3,281.18 : x
  2. Step 2: Convert to fraction form
    10,676.75/16,013.84 = 3,281.18/x
  3. Step 3: Cross multiply
    10,676.75x = 16,013.84 × 3,281.18
  4. Step 4: Simplify right side
    10,676.75x = 52,544,195.06
  5. Step 5: Solve for x
    x = 52,544,195.06/10,676.75
  6. Step 6: Final answer
    x = 4,921.37

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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.