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Finding the Fourth Proportional to 10,221.29, 14,105.79 and 5,745.03

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Solution

The fourth proportional to 10,221.29, 14,105.79 and 5,745.03 is: 7,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.29 : 14,105.79 = 5,745.03 : x
  2. Step 2: Convert to fraction form
    10,221.29/14,105.79 = 5,745.03/x
  3. Step 3: Cross multiply
    10,221.29x = 14,105.79 × 5,745.03
  4. Step 4: Simplify right side
    10,221.29x = 81,038,186.72
  5. Step 5: Solve for x
    x = 81,038,186.72/10,221.29
  6. Step 6: Final answer
    x = 7,928.37

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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.