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Finding the Fourth Proportional to 8,381.28, 11,566.20 and 5,239.26

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Solution

The fourth proportional to 8,381.28, 11,566.20 and 5,239.26 is: 7,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.28 : 11,566.20 = 5,239.26 : x
  2. Step 2: Convert to fraction form
    8,381.28/11,566.20 = 5,239.26/x
  3. Step 3: Cross multiply
    8,381.28x = 11,566.20 × 5,239.26
  4. Step 4: Simplify right side
    8,381.28x = 60,598,329.01
  5. Step 5: Solve for x
    x = 60,598,329.01/8,381.28
  6. Step 6: Final answer
    x = 7,230.20

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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.