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Finding the Fourth Proportional to 10,221.54, 14,105.22 and 5,745.48

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Solution

The fourth proportional to 10,221.54, 14,105.22 and 5,745.48 is: 7,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.54 : 14,105.22 = 5,745.48 : x
  2. Step 2: Convert to fraction form
    10,221.54/14,105.22 = 5,745.48/x
  3. Step 3: Cross multiply
    10,221.54x = 14,105.22 × 5,745.48
  4. Step 4: Simplify right side
    10,221.54x = 81,041,259.41
  5. Step 5: Solve for x
    x = 81,041,259.41/10,221.54
  6. Step 6: Final answer
    x = 7,928.48

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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.