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Finding the Fourth Proportional to 11,759.58, 16,234.53 and 9,084.66

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Solution

The fourth proportional to 11,759.58, 16,234.53 and 9,084.66 is: 12,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.58 : 16,234.53 = 9,084.66 : x
  2. Step 2: Convert to fraction form
    11,759.58/16,234.53 = 9,084.66/x
  3. Step 3: Cross multiply
    11,759.58x = 16,234.53 × 9,084.66
  4. Step 4: Simplify right side
    11,759.58x = 147,485,185.31
  5. Step 5: Solve for x
    x = 147,485,185.31/11,759.58
  6. Step 6: Final answer
    x = 12,541.71

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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.