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Finding the Fourth Proportional to 11,192.50, 15,445.92 and 6,716.44

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Solution

The fourth proportional to 11,192.50, 15,445.92 and 6,716.44 is: 9,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.50 : 15,445.92 = 6,716.44 : x
  2. Step 2: Convert to fraction form
    11,192.50/15,445.92 = 6,716.44/x
  3. Step 3: Cross multiply
    11,192.50x = 15,445.92 × 6,716.44
  4. Step 4: Simplify right side
    11,192.50x = 103,741,594.92
  5. Step 5: Solve for x
    x = 103,741,594.92/11,192.50
  6. Step 6: Final answer
    x = 9,268.85

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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.