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Finding the Fourth Proportional to 8,284.15, 11,431.09 and 5,601.21

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Solution

The fourth proportional to 8,284.15, 11,431.09 and 5,601.21 is: 7,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.15 : 11,431.09 = 5,601.21 : x
  2. Step 2: Convert to fraction form
    8,284.15/11,431.09 = 5,601.21/x
  3. Step 3: Cross multiply
    8,284.15x = 11,431.09 × 5,601.21
  4. Step 4: Simplify right side
    8,284.15x = 64,027,935.62
  5. Step 5: Solve for x
    x = 64,027,935.62/8,284.15
  6. Step 6: Final answer
    x = 7,728.97

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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.