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Finding the Fourth Proportional to 8,823, 13,234.50 and 2,667

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Solution

The fourth proportional to 8,823, 13,234.50 and 2,667 is: 4,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 13,234.50 = 2,667 : x
  2. Step 2: Convert to fraction form
    8,823/13,234.50 = 2,667/x
  3. Step 3: Cross multiply
    8,823x = 13,234.50 × 2,667
  4. Step 4: Simplify right side
    8,823x = 35,296,411.50
  5. Step 5: Solve for x
    x = 35,296,411.50/8,823
  6. Step 6: Final answer
    x = 4,000.50

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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.