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Finding the Fourth Proportional to 8,283.26, 11,416.14 and 5,757.28

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Solution

The fourth proportional to 8,283.26, 11,416.14 and 5,757.28 is: 7,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.26 : 11,416.14 = 5,757.28 : x
  2. Step 2: Convert to fraction form
    8,283.26/11,416.14 = 5,757.28/x
  3. Step 3: Cross multiply
    8,283.26x = 11,416.14 × 5,757.28
  4. Step 4: Simplify right side
    8,283.26x = 65,725,885.96
  5. Step 5: Solve for x
    x = 65,725,885.96/8,283.26
  6. Step 6: Final answer
    x = 7,934.78

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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.