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Finding the Fourth Proportional to 11,745.34, 16,208.41 and 6,440.16

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Solution

The fourth proportional to 11,745.34, 16,208.41 and 6,440.16 is: 8,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.34 : 16,208.41 = 6,440.16 : x
  2. Step 2: Convert to fraction form
    11,745.34/16,208.41 = 6,440.16/x
  3. Step 3: Cross multiply
    11,745.34x = 16,208.41 × 6,440.16
  4. Step 4: Simplify right side
    11,745.34x = 104,384,753.75
  5. Step 5: Solve for x
    x = 104,384,753.75/11,745.34
  6. Step 6: Final answer
    x = 8,887.33

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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.