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Finding the Fourth Proportional to 11,200.82, 16,765.31 and 7,443.98

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Solution

The fourth proportional to 11,200.82, 16,765.31 and 7,443.98 is: 11,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.82 : 16,765.31 = 7,443.98 : x
  2. Step 2: Convert to fraction form
    11,200.82/16,765.31 = 7,443.98/x
  3. Step 3: Cross multiply
    11,200.82x = 16,765.31 × 7,443.98
  4. Step 4: Simplify right side
    11,200.82x = 124,800,511.29
  5. Step 5: Solve for x
    x = 124,800,511.29/11,200.82
  6. Step 6: Final answer
    x = 11,142.09

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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.