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Finding the Fourth Proportional to 11,745.81, 16,209.32 and 6,440.31

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Solution

The fourth proportional to 11,745.81, 16,209.32 and 6,440.31 is: 8,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.81 : 16,209.32 = 6,440.31 : x
  2. Step 2: Convert to fraction form
    11,745.81/16,209.32 = 6,440.31/x
  3. Step 3: Cross multiply
    11,745.81x = 16,209.32 × 6,440.31
  4. Step 4: Simplify right side
    11,745.81x = 104,393,013.49
  5. Step 5: Solve for x
    x = 104,393,013.49/11,745.81
  6. Step 6: Final answer
    x = 8,887.68

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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.