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Finding the Fourth Proportional to 11,745.64, 16,209.21 and 6,440.46

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Solution

The fourth proportional to 11,745.64, 16,209.21 and 6,440.46 is: 8,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.64 : 16,209.21 = 6,440.46 : x
  2. Step 2: Convert to fraction form
    11,745.64/16,209.21 = 6,440.46/x
  3. Step 3: Cross multiply
    11,745.64x = 16,209.21 × 6,440.46
  4. Step 4: Simplify right side
    11,745.64x = 104,394,687.59
  5. Step 5: Solve for x
    x = 104,394,687.59/11,745.64
  6. Step 6: Final answer
    x = 8,887.95

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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.