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Finding the Fourth Proportional to 11,867.70, 17,805.67 and 4,474.28

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Solution

The fourth proportional to 11,867.70, 17,805.67 and 4,474.28 is: 6,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.70 : 17,805.67 = 4,474.28 : x
  2. Step 2: Convert to fraction form
    11,867.70/17,805.67 = 4,474.28/x
  3. Step 3: Cross multiply
    11,867.70x = 17,805.67 × 4,474.28
  4. Step 4: Simplify right side
    11,867.70x = 79,667,586.50
  5. Step 5: Solve for x
    x = 79,667,586.50/11,867.70
  6. Step 6: Final answer
    x = 6,712.97

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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.