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Finding the Fourth Proportional to 8,185.57, 11,305.56 and 5,957.44

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Solution

The fourth proportional to 8,185.57, 11,305.56 and 5,957.44 is: 8,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.57 : 11,305.56 = 5,957.44 : x
  2. Step 2: Convert to fraction form
    8,185.57/11,305.56 = 5,957.44/x
  3. Step 3: Cross multiply
    8,185.57x = 11,305.56 × 5,957.44
  4. Step 4: Simplify right side
    8,185.57x = 67,352,195.37
  5. Step 5: Solve for x
    x = 67,352,195.37/8,185.57
  6. Step 6: Final answer
    x = 8,228.16

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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.