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Finding the Fourth Proportional to 8,380.28, 11,564.82 and 5,238.26

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Solution

The fourth proportional to 8,380.28, 11,564.82 and 5,238.26 is: 7,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.28 : 11,564.82 = 5,238.26 : x
  2. Step 2: Convert to fraction form
    8,380.28/11,564.82 = 5,238.26/x
  3. Step 3: Cross multiply
    8,380.28x = 11,564.82 × 5,238.26
  4. Step 4: Simplify right side
    8,380.28x = 60,579,534.01
  5. Step 5: Solve for x
    x = 60,579,534.01/8,380.28
  6. Step 6: Final answer
    x = 7,228.82

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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.