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Finding the Fourth Proportional to 11,245.70, 16,872.60 and 4,676.60

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Solution

The fourth proportional to 11,245.70, 16,872.60 and 4,676.60 is: 7,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.70 : 16,872.60 = 4,676.60 : x
  2. Step 2: Convert to fraction form
    11,245.70/16,872.60 = 4,676.60/x
  3. Step 3: Cross multiply
    11,245.70x = 16,872.60 × 4,676.60
  4. Step 4: Simplify right side
    11,245.70x = 78,906,401.16
  5. Step 5: Solve for x
    x = 78,906,401.16/11,245.70
  6. Step 6: Final answer
    x = 7,016.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.