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Finding the Fourth Proportional to 8,201.28, 11,322.44 and 5,411.64

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Solution

The fourth proportional to 8,201.28, 11,322.44 and 5,411.64 is: 7,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.28 : 11,322.44 = 5,411.64 : x
  2. Step 2: Convert to fraction form
    8,201.28/11,322.44 = 5,411.64/x
  3. Step 3: Cross multiply
    8,201.28x = 11,322.44 × 5,411.64
  4. Step 4: Simplify right side
    8,201.28x = 61,272,969.20
  5. Step 5: Solve for x
    x = 61,272,969.20/8,201.28
  6. Step 6: Final answer
    x = 7,471.15

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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.