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Finding the Fourth Proportional to 11,563.98, 17,327.52 and 6,872.87

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Solution

The fourth proportional to 11,563.98, 17,327.52 and 6,872.87 is: 10,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.98 : 17,327.52 = 6,872.87 : x
  2. Step 2: Convert to fraction form
    11,563.98/17,327.52 = 6,872.87/x
  3. Step 3: Cross multiply
    11,563.98x = 17,327.52 × 6,872.87
  4. Step 4: Simplify right side
    11,563.98x = 119,089,738.23
  5. Step 5: Solve for x
    x = 119,089,738.23/11,563.98
  6. Step 6: Final answer
    x = 10,298.33

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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.