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Finding the Fourth Proportional to 11,544.96, 15,932.16 and 6,239.88

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Solution

The fourth proportional to 11,544.96, 15,932.16 and 6,239.88 is: 8,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.96 : 15,932.16 = 6,239.88 : x
  2. Step 2: Convert to fraction form
    11,544.96/15,932.16 = 6,239.88/x
  3. Step 3: Cross multiply
    11,544.96x = 15,932.16 × 6,239.88
  4. Step 4: Simplify right side
    11,544.96x = 99,414,766.54
  5. Step 5: Solve for x
    x = 99,414,766.54/11,544.96
  6. Step 6: Final answer
    x = 8,611.10

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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.