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Finding the Fourth Proportional to 10,680.90, 14,738.21 and 5,964.34

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Solution

The fourth proportional to 10,680.90, 14,738.21 and 5,964.34 is: 8,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.90 : 14,738.21 = 5,964.34 : x
  2. Step 2: Convert to fraction form
    10,680.90/14,738.21 = 5,964.34/x
  3. Step 3: Cross multiply
    10,680.90x = 14,738.21 × 5,964.34
  4. Step 4: Simplify right side
    10,680.90x = 87,903,695.43
  5. Step 5: Solve for x
    x = 87,903,695.43/10,680.90
  6. Step 6: Final answer
    x = 8,229.99

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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.