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Finding the Fourth Proportional to 8,362.28, 11,540.50 and 4,825.74

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Solution

The fourth proportional to 8,362.28, 11,540.50 and 4,825.74 is: 6,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.28 : 11,540.50 = 4,825.74 : x
  2. Step 2: Convert to fraction form
    8,362.28/11,540.50 = 4,825.74/x
  3. Step 3: Cross multiply
    8,362.28x = 11,540.50 × 4,825.74
  4. Step 4: Simplify right side
    8,362.28x = 55,691,452.47
  5. Step 5: Solve for x
    x = 55,691,452.47/8,362.28
  6. Step 6: Final answer
    x = 6,659.84

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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.