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Finding the Fourth Proportional to 11,912.60, 17,862.42 and 4,120.76

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Solution

The fourth proportional to 11,912.60, 17,862.42 and 4,120.76 is: 6,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.60 : 17,862.42 = 4,120.76 : x
  2. Step 2: Convert to fraction form
    11,912.60/17,862.42 = 4,120.76/x
  3. Step 3: Cross multiply
    11,912.60x = 17,862.42 × 4,120.76
  4. Step 4: Simplify right side
    11,912.60x = 73,606,745.84
  5. Step 5: Solve for x
    x = 73,606,745.84/11,912.60
  6. Step 6: Final answer
    x = 6,178.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.