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Finding the Fourth Proportional to 8,228.80, 11,355.20 and 5,084.48

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Solution

The fourth proportional to 8,228.80, 11,355.20 and 5,084.48 is: 7,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.80 : 11,355.20 = 5,084.48 : x
  2. Step 2: Convert to fraction form
    8,228.80/11,355.20 = 5,084.48/x
  3. Step 3: Cross multiply
    8,228.80x = 11,355.20 × 5,084.48
  4. Step 4: Simplify right side
    8,228.80x = 57,735,287.30
  5. Step 5: Solve for x
    x = 57,735,287.30/8,228.80
  6. Step 6: Final answer
    x = 7,016.25

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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.