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Finding the Fourth Proportional to 8,245.70, 11,384.26 and 5,727.02

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Solution

The fourth proportional to 8,245.70, 11,384.26 and 5,727.02 is: 7,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.70 : 11,384.26 = 5,727.02 : x
  2. Step 2: Convert to fraction form
    8,245.70/11,384.26 = 5,727.02/x
  3. Step 3: Cross multiply
    8,245.70x = 11,384.26 × 5,727.02
  4. Step 4: Simplify right side
    8,245.70x = 65,197,884.71
  5. Step 5: Solve for x
    x = 65,197,884.71/8,245.70
  6. Step 6: Final answer
    x = 7,906.90

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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.