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Finding the Fourth Proportional to 6,524.28, 9,763.74 and 5,340.60

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Solution

The fourth proportional to 6,524.28, 9,763.74 and 5,340.60 is: 7,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.28 : 9,763.74 = 5,340.60 : x
  2. Step 2: Convert to fraction form
    6,524.28/9,763.74 = 5,340.60/x
  3. Step 3: Cross multiply
    6,524.28x = 9,763.74 × 5,340.60
  4. Step 4: Simplify right side
    6,524.28x = 52,144,229.84
  5. Step 5: Solve for x
    x = 52,144,229.84/6,524.28
  6. Step 6: Final answer
    x = 7,992.33

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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.