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Finding the Fourth Proportional to 11,052.23, 16,578 and 2,732.31

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Solution

The fourth proportional to 11,052.23, 16,578 and 2,732.31 is: 4,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.23 : 16,578 = 2,732.31 : x
  2. Step 2: Convert to fraction form
    11,052.23/16,578 = 2,732.31/x
  3. Step 3: Cross multiply
    11,052.23x = 16,578 × 2,732.31
  4. Step 4: Simplify right side
    11,052.23x = 45,296,235.18
  5. Step 5: Solve for x
    x = 45,296,235.18/11,052.23
  6. Step 6: Final answer
    x = 4,098.38

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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.