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Finding the Fourth Proportional to 11,006.69, 16,509.83 and 2,686.57

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Solution

The fourth proportional to 11,006.69, 16,509.83 and 2,686.57 is: 4,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.69 : 16,509.83 = 2,686.57 : x
  2. Step 2: Convert to fraction form
    11,006.69/16,509.83 = 2,686.57/x
  3. Step 3: Cross multiply
    11,006.69x = 16,509.83 × 2,686.57
  4. Step 4: Simplify right side
    11,006.69x = 44,354,759.28
  5. Step 5: Solve for x
    x = 44,354,759.28/11,006.69
  6. Step 6: Final answer
    x = 4,029.80

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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.