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Finding the Fourth Proportional to 11,005.88, 16,511.65 and 3,214.69

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Solution

The fourth proportional to 11,005.88, 16,511.65 and 3,214.69 is: 4,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.88 : 16,511.65 = 3,214.69 : x
  2. Step 2: Convert to fraction form
    11,005.88/16,511.65 = 3,214.69/x
  3. Step 3: Cross multiply
    11,005.88x = 16,511.65 × 3,214.69
  4. Step 4: Simplify right side
    11,005.88x = 53,079,786.82
  5. Step 5: Solve for x
    x = 53,079,786.82/11,005.88
  6. Step 6: Final answer
    x = 4,822.86

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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.