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Finding the Fourth Proportional to 12,150.75, 16,771.17 and 7,912.40

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Solution

The fourth proportional to 12,150.75, 16,771.17 and 7,912.40 is: 10,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.75 : 16,771.17 = 7,912.40 : x
  2. Step 2: Convert to fraction form
    12,150.75/16,771.17 = 7,912.40/x
  3. Step 3: Cross multiply
    12,150.75x = 16,771.17 × 7,912.40
  4. Step 4: Simplify right side
    12,150.75x = 132,700,205.51
  5. Step 5: Solve for x
    x = 132,700,205.51/12,150.75
  6. Step 6: Final answer
    x = 10,921.15

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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.