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Finding the Fourth Proportional to 11,491.46, 15,858.89 and 8,653.82

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Solution

The fourth proportional to 11,491.46, 15,858.89 and 8,653.82 is: 11,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.46 : 15,858.89 = 8,653.82 : x
  2. Step 2: Convert to fraction form
    11,491.46/15,858.89 = 8,653.82/x
  3. Step 3: Cross multiply
    11,491.46x = 15,858.89 × 8,653.82
  4. Step 4: Simplify right side
    11,491.46x = 137,239,993.75
  5. Step 5: Solve for x
    x = 137,239,993.75/11,491.46
  6. Step 6: Final answer
    x = 11,942.79

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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.