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Finding the Fourth Proportional to 8,322.82, 11,490.11 and 5,674.12

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Solution

The fourth proportional to 8,322.82, 11,490.11 and 5,674.12 is: 7,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.82 : 11,490.11 = 5,674.12 : x
  2. Step 2: Convert to fraction form
    8,322.82/11,490.11 = 5,674.12/x
  3. Step 3: Cross multiply
    8,322.82x = 11,490.11 × 5,674.12
  4. Step 4: Simplify right side
    8,322.82x = 65,196,234.58
  5. Step 5: Solve for x
    x = 65,196,234.58/8,322.82
  6. Step 6: Final answer
    x = 7,833.43

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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.