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Finding the Fourth Proportional to 10,003.67, 13,805.18 and 5,527.33

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Solution

The fourth proportional to 10,003.67, 13,805.18 and 5,527.33 is: 7,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.67 : 13,805.18 = 5,527.33 : x
  2. Step 2: Convert to fraction form
    10,003.67/13,805.18 = 5,527.33/x
  3. Step 3: Cross multiply
    10,003.67x = 13,805.18 × 5,527.33
  4. Step 4: Simplify right side
    10,003.67x = 76,305,785.57
  5. Step 5: Solve for x
    x = 76,305,785.57/10,003.67
  6. Step 6: Final answer
    x = 7,627.78

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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.