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Finding the Fourth Proportional to 7,691, 11,536.50 and 2,760.94

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Solution

The fourth proportional to 7,691, 11,536.50 and 2,760.94 is: 4,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691 : 11,536.50 = 2,760.94 : x
  2. Step 2: Convert to fraction form
    7,691/11,536.50 = 2,760.94/x
  3. Step 3: Cross multiply
    7,691x = 11,536.50 × 2,760.94
  4. Step 4: Simplify right side
    7,691x = 31,851,584.31
  5. Step 5: Solve for x
    x = 31,851,584.31/7,691
  6. Step 6: Final answer
    x = 4,141.41

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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.