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Finding the Fourth Proportional to 11,972.37, 16,517.07 and 7,432.92

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Solution

The fourth proportional to 11,972.37, 16,517.07 and 7,432.92 is: 10,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.37 : 16,517.07 = 7,432.92 : x
  2. Step 2: Convert to fraction form
    11,972.37/16,517.07 = 7,432.92/x
  3. Step 3: Cross multiply
    11,972.37x = 16,517.07 × 7,432.92
  4. Step 4: Simplify right side
    11,972.37x = 122,770,059.94
  5. Step 5: Solve for x
    x = 122,770,059.94/11,972.37
  6. Step 6: Final answer
    x = 10,254.45

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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.