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Finding the Fourth Proportional to 11,222.52, 16,811.82 and 6,829.08

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Solution

The fourth proportional to 11,222.52, 16,811.82 and 6,829.08 is: 10,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.52 : 16,811.82 = 6,829.08 : x
  2. Step 2: Convert to fraction form
    11,222.52/16,811.82 = 6,829.08/x
  3. Step 3: Cross multiply
    11,222.52x = 16,811.82 × 6,829.08
  4. Step 4: Simplify right side
    11,222.52x = 114,809,263.73
  5. Step 5: Solve for x
    x = 114,809,263.73/11,222.52
  6. Step 6: Final answer
    x = 10,230.26

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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.