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Finding the Fourth Proportional to 10,222.32, 14,105.22 and 5,745.24

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Solution

The fourth proportional to 10,222.32, 14,105.22 and 5,745.24 is: 7,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.32 : 14,105.22 = 5,745.24 : x
  2. Step 2: Convert to fraction form
    10,222.32/14,105.22 = 5,745.24/x
  3. Step 3: Cross multiply
    10,222.32x = 14,105.22 × 5,745.24
  4. Step 4: Simplify right side
    10,222.32x = 81,037,874.15
  5. Step 5: Solve for x
    x = 81,037,874.15/10,222.32
  6. Step 6: Final answer
    x = 7,927.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.