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Finding the Fourth Proportional to 8,921.25, 13,381.88 and 2,765.25

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Solution

The fourth proportional to 8,921.25, 13,381.88 and 2,765.25 is: 4,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.25 : 13,381.88 = 2,765.25 : x
  2. Step 2: Convert to fraction form
    8,921.25/13,381.88 = 2,765.25/x
  3. Step 3: Cross multiply
    8,921.25x = 13,381.88 × 2,765.25
  4. Step 4: Simplify right side
    8,921.25x = 37,004,229.84
  5. Step 5: Solve for x
    x = 37,004,229.84/8,921.25
  6. Step 6: Final answer
    x = 4,147.88

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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.