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Finding the Fourth Proportional to 11,323.31, 16,991.87 and 7,157.57

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Solution

The fourth proportional to 11,323.31, 16,991.87 and 7,157.57 is: 10,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.31 : 16,991.87 = 7,157.57 : x
  2. Step 2: Convert to fraction form
    11,323.31/16,991.87 = 7,157.57/x
  3. Step 3: Cross multiply
    11,323.31x = 16,991.87 × 7,157.57
  4. Step 4: Simplify right side
    11,323.31x = 121,620,378.21
  5. Step 5: Solve for x
    x = 121,620,378.21/11,323.31
  6. Step 6: Final answer
    x = 10,740.71

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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.