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Finding the Fourth Proportional to 10,872.76, 16,314.72 and 5,326

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Solution

The fourth proportional to 10,872.76, 16,314.72 and 5,326 is: 7,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.76 : 16,314.72 = 5,326 : x
  2. Step 2: Convert to fraction form
    10,872.76/16,314.72 = 5,326/x
  3. Step 3: Cross multiply
    10,872.76x = 16,314.72 × 5,326
  4. Step 4: Simplify right side
    10,872.76x = 86,892,198.72
  5. Step 5: Solve for x
    x = 86,892,198.72/10,872.76
  6. Step 6: Final answer
    x = 7,991.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.