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Finding the Fourth Proportional to 11,759.55, 16,228.09 and 6,381.87

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Solution

The fourth proportional to 11,759.55, 16,228.09 and 6,381.87 is: 8,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.55 : 16,228.09 = 6,381.87 : x
  2. Step 2: Convert to fraction form
    11,759.55/16,228.09 = 6,381.87/x
  3. Step 3: Cross multiply
    11,759.55x = 16,228.09 × 6,381.87
  4. Step 4: Simplify right side
    11,759.55x = 103,565,560.73
  5. Step 5: Solve for x
    x = 103,565,560.73/11,759.55
  6. Step 6: Final answer
    x = 8,806.93

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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.