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Finding the Fourth Proportional to 8,507.28, 11,736.14 and 5,523.24

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Solution

The fourth proportional to 8,507.28, 11,736.14 and 5,523.24 is: 7,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.28 : 11,736.14 = 5,523.24 : x
  2. Step 2: Convert to fraction form
    8,507.28/11,736.14 = 5,523.24/x
  3. Step 3: Cross multiply
    8,507.28x = 11,736.14 × 5,523.24
  4. Step 4: Simplify right side
    8,507.28x = 64,821,517.89
  5. Step 5: Solve for x
    x = 64,821,517.89/8,507.28
  6. Step 6: Final answer
    x = 7,619.54

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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.