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Finding the Fourth Proportional to 6,763.64, 10,168.31 and 5,463.45

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Solution

The fourth proportional to 6,763.64, 10,168.31 and 5,463.45 is: 8,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.64 : 10,168.31 = 5,463.45 : x
  2. Step 2: Convert to fraction form
    6,763.64/10,168.31 = 5,463.45/x
  3. Step 3: Cross multiply
    6,763.64x = 10,168.31 × 5,463.45
  4. Step 4: Simplify right side
    6,763.64x = 55,554,053.27
  5. Step 5: Solve for x
    x = 55,554,053.27/6,763.64
  6. Step 6: Final answer
    x = 8,213.63

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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.