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Finding the Fourth Proportional to 8,450.69, 11,657.90 and 5,467.46

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Solution

The fourth proportional to 8,450.69, 11,657.90 and 5,467.46 is: 7,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.69 : 11,657.90 = 5,467.46 : x
  2. Step 2: Convert to fraction form
    8,450.69/11,657.90 = 5,467.46/x
  3. Step 3: Cross multiply
    8,450.69x = 11,657.90 × 5,467.46
  4. Step 4: Simplify right side
    8,450.69x = 63,739,101.93
  5. Step 5: Solve for x
    x = 63,739,101.93/8,450.69
  6. Step 6: Final answer
    x = 7,542.47

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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.