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Finding the Fourth Proportional to 11,862.95, 17,757.51 and 7,471.18

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Solution

The fourth proportional to 11,862.95, 17,757.51 and 7,471.18 is: 11,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.95 : 17,757.51 = 7,471.18 : x
  2. Step 2: Convert to fraction form
    11,862.95/17,757.51 = 7,471.18/x
  3. Step 3: Cross multiply
    11,862.95x = 17,757.51 × 7,471.18
  4. Step 4: Simplify right side
    11,862.95x = 132,669,553.56
  5. Step 5: Solve for x
    x = 132,669,553.56/11,862.95
  6. Step 6: Final answer
    x = 11,183.52

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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.