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Finding the Fourth Proportional to 8,192.30, 11,293.91 and 6,928.27

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Solution

The fourth proportional to 8,192.30, 11,293.91 and 6,928.27 is: 9,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.30 : 11,293.91 = 6,928.27 : x
  2. Step 2: Convert to fraction form
    8,192.30/11,293.91 = 6,928.27/x
  3. Step 3: Cross multiply
    8,192.30x = 11,293.91 × 6,928.27
  4. Step 4: Simplify right side
    8,192.30x = 78,247,257.84
  5. Step 5: Solve for x
    x = 78,247,257.84/8,192.30
  6. Step 6: Final answer
    x = 9,551.32

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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.