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Finding the Fourth Proportional to 8,098.14, 11,171.62 and 4,738.88

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Solution

The fourth proportional to 8,098.14, 11,171.62 and 4,738.88 is: 6,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.14 : 11,171.62 = 4,738.88 : x
  2. Step 2: Convert to fraction form
    8,098.14/11,171.62 = 4,738.88/x
  3. Step 3: Cross multiply
    8,098.14x = 11,171.62 × 4,738.88
  4. Step 4: Simplify right side
    8,098.14x = 52,940,939.98
  5. Step 5: Solve for x
    x = 52,940,939.98/8,098.14
  6. Step 6: Final answer
    x = 6,537.42

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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.