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Finding the Fourth Proportional to 8,188.28, 11,304.44 and 5,398.64

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Solution

The fourth proportional to 8,188.28, 11,304.44 and 5,398.64 is: 7,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.28 : 11,304.44 = 5,398.64 : x
  2. Step 2: Convert to fraction form
    8,188.28/11,304.44 = 5,398.64/x
  3. Step 3: Cross multiply
    8,188.28x = 11,304.44 × 5,398.64
  4. Step 4: Simplify right side
    8,188.28x = 61,028,601.96
  5. Step 5: Solve for x
    x = 61,028,601.96/8,188.28
  6. Step 6: Final answer
    x = 7,453.17

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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.