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Finding the Fourth Proportional to 11,862.42, 16,371.36 and 6,826.83

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Solution

The fourth proportional to 11,862.42, 16,371.36 and 6,826.83 is: 9,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.42 : 16,371.36 = 6,826.83 : x
  2. Step 2: Convert to fraction form
    11,862.42/16,371.36 = 6,826.83/x
  3. Step 3: Cross multiply
    11,862.42x = 16,371.36 × 6,826.83
  4. Step 4: Simplify right side
    11,862.42x = 111,764,491.59
  5. Step 5: Solve for x
    x = 111,764,491.59/11,862.42
  6. Step 6: Final answer
    x = 9,421.73

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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.