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Finding the Fourth Proportional to 11,687.78, 17,510.50 and 5,367.94

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Solution

The fourth proportional to 11,687.78, 17,510.50 and 5,367.94 is: 8,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.78 : 17,510.50 = 5,367.94 : x
  2. Step 2: Convert to fraction form
    11,687.78/17,510.50 = 5,367.94/x
  3. Step 3: Cross multiply
    11,687.78x = 17,510.50 × 5,367.94
  4. Step 4: Simplify right side
    11,687.78x = 93,995,313.37
  5. Step 5: Solve for x
    x = 93,995,313.37/11,687.78
  6. Step 6: Final answer
    x = 8,042.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.