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Finding the Fourth Proportional to 8,164.34, 11,267.72 and 5,517.16

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Solution

The fourth proportional to 8,164.34, 11,267.72 and 5,517.16 is: 7,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.34 : 11,267.72 = 5,517.16 : x
  2. Step 2: Convert to fraction form
    8,164.34/11,267.72 = 5,517.16/x
  3. Step 3: Cross multiply
    8,164.34x = 11,267.72 × 5,517.16
  4. Step 4: Simplify right side
    8,164.34x = 62,165,758.32
  5. Step 5: Solve for x
    x = 62,165,758.32/8,164.34
  6. Step 6: Final answer
    x = 7,614.31

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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.