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Finding the Fourth Proportional to 8,006, 12,005.94 and 3,844.82

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Solution

The fourth proportional to 8,006, 12,005.94 and 3,844.82 is: 5,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006 : 12,005.94 = 3,844.82 : x
  2. Step 2: Convert to fraction form
    8,006/12,005.94 = 3,844.82/x
  3. Step 3: Cross multiply
    8,006x = 12,005.94 × 3,844.82
  4. Step 4: Simplify right side
    8,006x = 46,160,678.23
  5. Step 5: Solve for x
    x = 46,160,678.23/8,006
  6. Step 6: Final answer
    x = 5,765.76

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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.