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Finding the Fourth Proportional to 8,300.12, 11,447.87 and 5,782.23

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Solution

The fourth proportional to 8,300.12, 11,447.87 and 5,782.23 is: 7,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.12 : 11,447.87 = 5,782.23 : x
  2. Step 2: Convert to fraction form
    8,300.12/11,447.87 = 5,782.23/x
  3. Step 3: Cross multiply
    8,300.12x = 11,447.87 × 5,782.23
  4. Step 4: Simplify right side
    8,300.12x = 66,194,188.44
  5. Step 5: Solve for x
    x = 66,194,188.44/8,300.12
  6. Step 6: Final answer
    x = 7,975.09

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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.