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Finding the Fourth Proportional to 11,546.27, 15,933.82 and 6,241.07

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Solution

The fourth proportional to 11,546.27, 15,933.82 and 6,241.07 is: 8,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.27 : 15,933.82 = 6,241.07 : x
  2. Step 2: Convert to fraction form
    11,546.27/15,933.82 = 6,241.07/x
  3. Step 3: Cross multiply
    11,546.27x = 15,933.82 × 6,241.07
  4. Step 4: Simplify right side
    11,546.27x = 99,444,085.99
  5. Step 5: Solve for x
    x = 99,444,085.99/11,546.27
  6. Step 6: Final answer
    x = 8,612.66

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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.