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Finding the Fourth Proportional to 10,793.40, 16,157.70 and 6,408.60

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Solution

The fourth proportional to 10,793.40, 16,157.70 and 6,408.60 is: 9,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.40 : 16,157.70 = 6,408.60 : x
  2. Step 2: Convert to fraction form
    10,793.40/16,157.70 = 6,408.60/x
  3. Step 3: Cross multiply
    10,793.40x = 16,157.70 × 6,408.60
  4. Step 4: Simplify right side
    10,793.40x = 103,548,236.22
  5. Step 5: Solve for x
    x = 103,548,236.22/10,793.40
  6. Step 6: Final answer
    x = 9,593.66

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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.