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Finding the Fourth Proportional to 11,083.70, 16,644.36 and 7,409.54

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Solution

The fourth proportional to 11,083.70, 16,644.36 and 7,409.54 is: 11,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.70 : 16,644.36 = 7,409.54 : x
  2. Step 2: Convert to fraction form
    11,083.70/16,644.36 = 7,409.54/x
  3. Step 3: Cross multiply
    11,083.70x = 16,644.36 × 7,409.54
  4. Step 4: Simplify right side
    11,083.70x = 123,327,051.19
  5. Step 5: Solve for x
    x = 123,327,051.19/11,083.70
  6. Step 6: Final answer
    x = 11,126.88

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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.