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Finding the Fourth Proportional to 11,768.26, 16,243.84 and 7,576.50

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Solution

The fourth proportional to 11,768.26, 16,243.84 and 7,576.50 is: 10,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.26 : 16,243.84 = 7,576.50 : x
  2. Step 2: Convert to fraction form
    11,768.26/16,243.84 = 7,576.50/x
  3. Step 3: Cross multiply
    11,768.26x = 16,243.84 × 7,576.50
  4. Step 4: Simplify right side
    11,768.26x = 123,071,453.76
  5. Step 5: Solve for x
    x = 123,071,453.76/11,768.26
  6. Step 6: Final answer
    x = 10,457.91

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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.