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Finding the Fourth Proportional to 11,076.24, 16,611.38 and 7,565.64

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Solution

The fourth proportional to 11,076.24, 16,611.38 and 7,565.64 is: 11,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.24 : 16,611.38 = 7,565.64 : x
  2. Step 2: Convert to fraction form
    11,076.24/16,611.38 = 7,565.64/x
  3. Step 3: Cross multiply
    11,076.24x = 16,611.38 × 7,565.64
  4. Step 4: Simplify right side
    11,076.24x = 125,675,720.98
  5. Step 5: Solve for x
    x = 125,675,720.98/11,076.24
  6. Step 6: Final answer
    x = 11,346.42

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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.