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Finding the Fourth Proportional to 11,745.38, 16,206.34 and 6,964.44

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Solution

The fourth proportional to 11,745.38, 16,206.34 and 6,964.44 is: 9,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.38 : 16,206.34 = 6,964.44 : x
  2. Step 2: Convert to fraction form
    11,745.38/16,206.34 = 6,964.44/x
  3. Step 3: Cross multiply
    11,745.38x = 16,206.34 × 6,964.44
  4. Step 4: Simplify right side
    11,745.38x = 112,868,065.14
  5. Step 5: Solve for x
    x = 112,868,065.14/11,745.38
  6. Step 6: Final answer
    x = 9,609.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.