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Finding the Fourth Proportional to 10,415.40, 14,372.90 and 5,940.60

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Solution

The fourth proportional to 10,415.40, 14,372.90 and 5,940.60 is: 8,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.40 : 14,372.90 = 5,940.60 : x
  2. Step 2: Convert to fraction form
    10,415.40/14,372.90 = 5,940.60/x
  3. Step 3: Cross multiply
    10,415.40x = 14,372.90 × 5,940.60
  4. Step 4: Simplify right side
    10,415.40x = 85,383,649.74
  5. Step 5: Solve for x
    x = 85,383,649.74/10,415.40
  6. Step 6: Final answer
    x = 8,197.83

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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.