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Finding the Fourth Proportional to 7,692, 11,538 and 2,761.94

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Solution

The fourth proportional to 7,692, 11,538 and 2,761.94 is: 4,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 11,538 = 2,761.94 : x
  2. Step 2: Convert to fraction form
    7,692/11,538 = 2,761.94/x
  3. Step 3: Cross multiply
    7,692x = 11,538 × 2,761.94
  4. Step 4: Simplify right side
    7,692x = 31,867,263.72
  5. Step 5: Solve for x
    x = 31,867,263.72/7,692
  6. Step 6: Final answer
    x = 4,142.91

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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.