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Finding the Fourth Proportional to 10,408.20, 15,602.60 and 3,832.64

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Solution

The fourth proportional to 10,408.20, 15,602.60 and 3,832.64 is: 5,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.20 : 15,602.60 = 3,832.64 : x
  2. Step 2: Convert to fraction form
    10,408.20/15,602.60 = 3,832.64/x
  3. Step 3: Cross multiply
    10,408.20x = 15,602.60 × 3,832.64
  4. Step 4: Simplify right side
    10,408.20x = 59,799,148.86
  5. Step 5: Solve for x
    x = 59,799,148.86/10,408.20
  6. Step 6: Final answer
    x = 5,745.39

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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.