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Finding the Fourth Proportional to 10,221.65, 14,105.42 and 5,745.29

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Solution

The fourth proportional to 10,221.65, 14,105.42 and 5,745.29 is: 7,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.65 : 14,105.42 = 5,745.29 : x
  2. Step 2: Convert to fraction form
    10,221.65/14,105.42 = 5,745.29/x
  3. Step 3: Cross multiply
    10,221.65x = 14,105.42 × 5,745.29
  4. Step 4: Simplify right side
    10,221.65x = 81,039,629.22
  5. Step 5: Solve for x
    x = 81,039,629.22/10,221.65
  6. Step 6: Final answer
    x = 7,928.24

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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.