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Finding the Fourth Proportional to 7,874.56, 11,804.58 and 2,676.82

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Solution

The fourth proportional to 7,874.56, 11,804.58 and 2,676.82 is: 4,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.56 : 11,804.58 = 2,676.82 : x
  2. Step 2: Convert to fraction form
    7,874.56/11,804.58 = 2,676.82/x
  3. Step 3: Cross multiply
    7,874.56x = 11,804.58 × 2,676.82
  4. Step 4: Simplify right side
    7,874.56x = 31,598,735.84
  5. Step 5: Solve for x
    x = 31,598,735.84/7,874.56
  6. Step 6: Final answer
    x = 4,012.76

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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.