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Finding the Fourth Proportional to 11,231.75, 15,387.48 and 10,811.16

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Solution

The fourth proportional to 11,231.75, 15,387.48 and 10,811.16 is: 14,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.75 : 15,387.48 = 10,811.16 : x
  2. Step 2: Convert to fraction form
    11,231.75/15,387.48 = 10,811.16/x
  3. Step 3: Cross multiply
    11,231.75x = 15,387.48 × 10,811.16
  4. Step 4: Simplify right side
    11,231.75x = 166,356,508.28
  5. Step 5: Solve for x
    x = 166,356,508.28/11,231.75
  6. Step 6: Final answer
    x = 14,811.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.