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Finding the Fourth Proportional to 11,446.75, 17,168.10 and 5,205.30

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Solution

The fourth proportional to 11,446.75, 17,168.10 and 5,205.30 is: 7,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.75 : 17,168.10 = 5,205.30 : x
  2. Step 2: Convert to fraction form
    11,446.75/17,168.10 = 5,205.30/x
  3. Step 3: Cross multiply
    11,446.75x = 17,168.10 × 5,205.30
  4. Step 4: Simplify right side
    11,446.75x = 89,365,110.93
  5. Step 5: Solve for x
    x = 89,365,110.93/11,446.75
  6. Step 6: Final answer
    x = 7,807.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.