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Finding the Fourth Proportional to 8,289.56, 11,427.66 and 5,927.60

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Solution

The fourth proportional to 8,289.56, 11,427.66 and 5,927.60 is: 8,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.56 : 11,427.66 = 5,927.60 : x
  2. Step 2: Convert to fraction form
    8,289.56/11,427.66 = 5,927.60/x
  3. Step 3: Cross multiply
    8,289.56x = 11,427.66 × 5,927.60
  4. Step 4: Simplify right side
    8,289.56x = 67,738,540.28
  5. Step 5: Solve for x
    x = 67,738,540.28/8,289.56
  6. Step 6: Final answer
    x = 8,171.55

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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.