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Finding the Fourth Proportional to 7,676.73, 11,522.99 and 4,761.94

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Solution

The fourth proportional to 7,676.73, 11,522.99 and 4,761.94 is: 7,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.73 : 11,522.99 = 4,761.94 : x
  2. Step 2: Convert to fraction form
    7,676.73/11,522.99 = 4,761.94/x
  3. Step 3: Cross multiply
    7,676.73x = 11,522.99 × 4,761.94
  4. Step 4: Simplify right side
    7,676.73x = 54,871,787.00
  5. Step 5: Solve for x
    x = 54,871,787.00/7,676.73
  6. Step 6: Final answer
    x = 7,147.81

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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.