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Finding the Fourth Proportional to 8,164.67, 12,258.34 and 5,409.05

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Solution

The fourth proportional to 8,164.67, 12,258.34 and 5,409.05 is: 8,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.67 : 12,258.34 = 5,409.05 : x
  2. Step 2: Convert to fraction form
    8,164.67/12,258.34 = 5,409.05/x
  3. Step 3: Cross multiply
    8,164.67x = 12,258.34 × 5,409.05
  4. Step 4: Simplify right side
    8,164.67x = 66,305,899.16
  5. Step 5: Solve for x
    x = 66,305,899.16/8,164.67
  6. Step 6: Final answer
    x = 8,121.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.