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Finding the Fourth Proportional to 11,912.21, 16,440.98 and 6,875.74

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Solution

The fourth proportional to 11,912.21, 16,440.98 and 6,875.74 is: 9,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.21 : 16,440.98 = 6,875.74 : x
  2. Step 2: Convert to fraction form
    11,912.21/16,440.98 = 6,875.74/x
  3. Step 3: Cross multiply
    11,912.21x = 16,440.98 × 6,875.74
  4. Step 4: Simplify right side
    11,912.21x = 113,043,797.52
  5. Step 5: Solve for x
    x = 113,043,797.52/11,912.21
  6. Step 6: Final answer
    x = 9,489.74

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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.