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Finding the Fourth Proportional to 11,589.90, 15,984.75 and 7,811.69

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Solution

The fourth proportional to 11,589.90, 15,984.75 and 7,811.69 is: 10,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.90 : 15,984.75 = 7,811.69 : x
  2. Step 2: Convert to fraction form
    11,589.90/15,984.75 = 7,811.69/x
  3. Step 3: Cross multiply
    11,589.90x = 15,984.75 × 7,811.69
  4. Step 4: Simplify right side
    11,589.90x = 124,867,912.56
  5. Step 5: Solve for x
    x = 124,867,912.56/11,589.90
  6. Step 6: Final answer
    x = 10,773.85

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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.