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Finding the Fourth Proportional to 8,006.14, 11,048.49 and 4,469.48

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Solution

The fourth proportional to 8,006.14, 11,048.49 and 4,469.48 is: 6,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.14 : 11,048.49 = 4,469.48 : x
  2. Step 2: Convert to fraction form
    8,006.14/11,048.49 = 4,469.48/x
  3. Step 3: Cross multiply
    8,006.14x = 11,048.49 × 4,469.48
  4. Step 4: Simplify right side
    8,006.14x = 49,380,927.50
  5. Step 5: Solve for x
    x = 49,380,927.50/8,006.14
  6. Step 6: Final answer
    x = 6,167.89

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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.