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Finding the Fourth Proportional to 11,006.88, 16,516.80 and 4,086.24

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Solution

The fourth proportional to 11,006.88, 16,516.80 and 4,086.24 is: 6,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.88 : 16,516.80 = 4,086.24 : x
  2. Step 2: Convert to fraction form
    11,006.88/16,516.80 = 4,086.24/x
  3. Step 3: Cross multiply
    11,006.88x = 16,516.80 × 4,086.24
  4. Step 4: Simplify right side
    11,006.88x = 67,491,608.83
  5. Step 5: Solve for x
    x = 67,491,608.83/11,006.88
  6. Step 6: Final answer
    x = 6,131.77

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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.