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Finding the Fourth Proportional to 10,369.83, 14,310.23 and 6,120.88

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Solution

The fourth proportional to 10,369.83, 14,310.23 and 6,120.88 is: 8,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.83 : 14,310.23 = 6,120.88 : x
  2. Step 2: Convert to fraction form
    10,369.83/14,310.23 = 6,120.88/x
  3. Step 3: Cross multiply
    10,369.83x = 14,310.23 × 6,120.88
  4. Step 4: Simplify right side
    10,369.83x = 87,591,200.60
  5. Step 5: Solve for x
    x = 87,591,200.60/10,369.83
  6. Step 6: Final answer
    x = 8,446.73

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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.