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Finding the Fourth Proportional to 10,997.64, 16,496.46 and 5,158.26

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Solution

The fourth proportional to 10,997.64, 16,496.46 and 5,158.26 is: 7,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.64 : 16,496.46 = 5,158.26 : x
  2. Step 2: Convert to fraction form
    10,997.64/16,496.46 = 5,158.26/x
  3. Step 3: Cross multiply
    10,997.64x = 16,496.46 × 5,158.26
  4. Step 4: Simplify right side
    10,997.64x = 85,093,029.76
  5. Step 5: Solve for x
    x = 85,093,029.76/10,997.64
  6. Step 6: Final answer
    x = 7,737.39

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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.