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Finding the Fourth Proportional to 10,375.20, 14,315.04 and 6,183.36

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Solution

The fourth proportional to 10,375.20, 14,315.04 and 6,183.36 is: 8,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.20 : 14,315.04 = 6,183.36 : x
  2. Step 2: Convert to fraction form
    10,375.20/14,315.04 = 6,183.36/x
  3. Step 3: Cross multiply
    10,375.20x = 14,315.04 × 6,183.36
  4. Step 4: Simplify right side
    10,375.20x = 88,515,045.73
  5. Step 5: Solve for x
    x = 88,515,045.73/10,375.20
  6. Step 6: Final answer
    x = 8,531.41

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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.