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Finding the Fourth Proportional to 8,006.21, 11,048.12 and 4,469.65

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Solution

The fourth proportional to 8,006.21, 11,048.12 and 4,469.65 is: 6,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.21 : 11,048.12 = 4,469.65 : x
  2. Step 2: Convert to fraction form
    8,006.21/11,048.12 = 4,469.65/x
  3. Step 3: Cross multiply
    8,006.21x = 11,048.12 × 4,469.65
  4. Step 4: Simplify right side
    8,006.21x = 49,381,179.59
  5. Step 5: Solve for x
    x = 49,381,179.59/8,006.21
  6. Step 6: Final answer
    x = 6,167.86

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