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Finding the Fourth Proportional to 8,121.33, 11,206.48 and 4,584.33

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Solution

The fourth proportional to 8,121.33, 11,206.48 and 4,584.33 is: 6,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.33 : 11,206.48 = 4,584.33 : x
  2. Step 2: Convert to fraction form
    8,121.33/11,206.48 = 4,584.33/x
  3. Step 3: Cross multiply
    8,121.33x = 11,206.48 × 4,584.33
  4. Step 4: Simplify right side
    8,121.33x = 51,374,202.46
  5. Step 5: Solve for x
    x = 51,374,202.46/8,121.33
  6. Step 6: Final answer
    x = 6,325.84

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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.