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Finding the Fourth Proportional to 10,997.37, 16,468.71 and 7,695

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Solution

The fourth proportional to 10,997.37, 16,468.71 and 7,695 is: 11,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.37 : 16,468.71 = 7,695 : x
  2. Step 2: Convert to fraction form
    10,997.37/16,468.71 = 7,695/x
  3. Step 3: Cross multiply
    10,997.37x = 16,468.71 × 7,695
  4. Step 4: Simplify right side
    10,997.37x = 126,726,723.45
  5. Step 5: Solve for x
    x = 126,726,723.45/10,997.37
  6. Step 6: Final answer
    x = 11,523.37

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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.