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Finding the Fourth Proportional to 6,684.80, 10,020.59 and 3,168.63

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Solution

The fourth proportional to 6,684.80, 10,020.59 and 3,168.63 is: 4,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.80 : 10,020.59 = 3,168.63 : x
  2. Step 2: Convert to fraction form
    6,684.80/10,020.59 = 3,168.63/x
  3. Step 3: Cross multiply
    6,684.80x = 10,020.59 × 3,168.63
  4. Step 4: Simplify right side
    6,684.80x = 31,751,526.25
  5. Step 5: Solve for x
    x = 31,751,526.25/6,684.80
  6. Step 6: Final answer
    x = 4,749.81

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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.