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Finding the Fourth Proportional to 10,665.15, 16,000.82 and 3,270.70

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Solution

The fourth proportional to 10,665.15, 16,000.82 and 3,270.70 is: 4,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.15 : 16,000.82 = 3,270.70 : x
  2. Step 2: Convert to fraction form
    10,665.15/16,000.82 = 3,270.70/x
  3. Step 3: Cross multiply
    10,665.15x = 16,000.82 × 3,270.70
  4. Step 4: Simplify right side
    10,665.15x = 52,333,825.62
  5. Step 5: Solve for x
    x = 52,333,825.62/10,665.15
  6. Step 6: Final answer
    x = 4,906.99

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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.