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Finding the Fourth Proportional to 8,005.50, 11,045.70 and 4,467.96

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Solution

The fourth proportional to 8,005.50, 11,045.70 and 4,467.96 is: 6,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.50 : 11,045.70 = 4,467.96 : x
  2. Step 2: Convert to fraction form
    8,005.50/11,045.70 = 4,467.96/x
  3. Step 3: Cross multiply
    8,005.50x = 11,045.70 × 4,467.96
  4. Step 4: Simplify right side
    8,005.50x = 49,351,745.77
  5. Step 5: Solve for x
    x = 49,351,745.77/8,005.50
  6. Step 6: Final answer
    x = 6,164.73

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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.