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Finding the Fourth Proportional to 11,757.99, 16,232.37 and 9,083.07

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Solution

The fourth proportional to 11,757.99, 16,232.37 and 9,083.07 is: 12,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.99 : 16,232.37 = 9,083.07 : x
  2. Step 2: Convert to fraction form
    11,757.99/16,232.37 = 9,083.07/x
  3. Step 3: Cross multiply
    11,757.99x = 16,232.37 × 9,083.07
  4. Step 4: Simplify right side
    11,757.99x = 147,439,718.91
  5. Step 5: Solve for x
    x = 147,439,718.91/11,757.99
  6. Step 6: Final answer
    x = 12,539.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.