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Finding the Fourth Proportional to 10,958.28, 16,432.20 and 3,165

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Solution

The fourth proportional to 10,958.28, 16,432.20 and 3,165 is: 4,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.28 : 16,432.20 = 3,165 : x
  2. Step 2: Convert to fraction form
    10,958.28/16,432.20 = 3,165/x
  3. Step 3: Cross multiply
    10,958.28x = 16,432.20 × 3,165
  4. Step 4: Simplify right side
    10,958.28x = 52,007,913
  5. Step 5: Solve for x
    x = 52,007,913/10,958.28
  6. Step 6: Final answer
    x = 4,745.99

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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.