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Finding the Fourth Proportional to 8,005.72, 11,048.16 and 4,469.80

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Solution

The fourth proportional to 8,005.72, 11,048.16 and 4,469.80 is: 6,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.72 : 11,048.16 = 4,469.80 : x
  2. Step 2: Convert to fraction form
    8,005.72/11,048.16 = 4,469.80/x
  3. Step 3: Cross multiply
    8,005.72x = 11,048.16 × 4,469.80
  4. Step 4: Simplify right side
    8,005.72x = 49,383,065.57
  5. Step 5: Solve for x
    x = 49,383,065.57/8,005.72
  6. Step 6: Final answer
    x = 6,168.47

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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.