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Finding the Fourth Proportional to 8,313.29, 11,474.21 and 5,661.75

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Solution

The fourth proportional to 8,313.29, 11,474.21 and 5,661.75 is: 7,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.29 : 11,474.21 = 5,661.75 : x
  2. Step 2: Convert to fraction form
    8,313.29/11,474.21 = 5,661.75/x
  3. Step 3: Cross multiply
    8,313.29x = 11,474.21 × 5,661.75
  4. Step 4: Simplify right side
    8,313.29x = 64,964,122.62
  5. Step 5: Solve for x
    x = 64,964,122.62/8,313.29
  6. Step 6: Final answer
    x = 7,814.49

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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.