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Finding the Fourth Proportional to 10,512.56, 15,734.82 and 7,738.64

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Solution

The fourth proportional to 10,512.56, 15,734.82 and 7,738.64 is: 11,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.56 : 15,734.82 = 7,738.64 : x
  2. Step 2: Convert to fraction form
    10,512.56/15,734.82 = 7,738.64/x
  3. Step 3: Cross multiply
    10,512.56x = 15,734.82 × 7,738.64
  4. Step 4: Simplify right side
    10,512.56x = 121,766,107.44
  5. Step 5: Solve for x
    x = 121,766,107.44/10,512.56
  6. Step 6: Final answer
    x = 11,582.92

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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.