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Finding the Fourth Proportional to 11,672.57, 16,108.27 and 6,367.50

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Solution

The fourth proportional to 11,672.57, 16,108.27 and 6,367.50 is: 8,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.57 : 16,108.27 = 6,367.50 : x
  2. Step 2: Convert to fraction form
    11,672.57/16,108.27 = 6,367.50/x
  3. Step 3: Cross multiply
    11,672.57x = 16,108.27 × 6,367.50
  4. Step 4: Simplify right side
    11,672.57x = 102,569,393.31
  5. Step 5: Solve for x
    x = 102,569,393.31/11,672.57
  6. Step 6: Final answer
    x = 8,787.21

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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.