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Finding the Fourth Proportional to 11,761.14, 17,644.14 and 3,969.84

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Solution

The fourth proportional to 11,761.14, 17,644.14 and 3,969.84 is: 5,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.14 : 17,644.14 = 3,969.84 : x
  2. Step 2: Convert to fraction form
    11,761.14/17,644.14 = 3,969.84/x
  3. Step 3: Cross multiply
    11,761.14x = 17,644.14 × 3,969.84
  4. Step 4: Simplify right side
    11,761.14x = 70,044,412.74
  5. Step 5: Solve for x
    x = 70,044,412.74/11,761.14
  6. Step 6: Final answer
    x = 5,955.58

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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.