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Finding the Fourth Proportional to 10,220.36, 14,105.03 and 5,745.20

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Solution

The fourth proportional to 10,220.36, 14,105.03 and 5,745.20 is: 7,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.36 : 14,105.03 = 5,745.20 : x
  2. Step 2: Convert to fraction form
    10,220.36/14,105.03 = 5,745.20/x
  3. Step 3: Cross multiply
    10,220.36x = 14,105.03 × 5,745.20
  4. Step 4: Simplify right side
    10,220.36x = 81,036,119.10
  5. Step 5: Solve for x
    x = 81,036,119.10/10,220.36
  6. Step 6: Final answer
    x = 7,928.89

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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.