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Finding the Fourth Proportional to 11,687.50, 16,128.44 and 6,382.40

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Solution

The fourth proportional to 11,687.50, 16,128.44 and 6,382.40 is: 8,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.50 : 16,128.44 = 6,382.40 : x
  2. Step 2: Convert to fraction form
    11,687.50/16,128.44 = 6,382.40/x
  3. Step 3: Cross multiply
    11,687.50x = 16,128.44 × 6,382.40
  4. Step 4: Simplify right side
    11,687.50x = 102,938,163.87
  5. Step 5: Solve for x
    x = 102,938,163.87/11,687.50
  6. Step 6: Final answer
    x = 8,807.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.