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Finding the Fourth Proportional to 8,205.53, 11,320.26 and 6,086.28

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Solution

The fourth proportional to 8,205.53, 11,320.26 and 6,086.28 is: 8,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.53 : 11,320.26 = 6,086.28 : x
  2. Step 2: Convert to fraction form
    8,205.53/11,320.26 = 6,086.28/x
  3. Step 3: Cross multiply
    8,205.53x = 11,320.26 × 6,086.28
  4. Step 4: Simplify right side
    8,205.53x = 68,898,272.03
  5. Step 5: Solve for x
    x = 68,898,272.03/8,205.53
  6. Step 6: Final answer
    x = 8,396.57

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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.