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Finding the Fourth Proportional to 11,745.90, 16,209.57 and 6,441

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Solution

The fourth proportional to 11,745.90, 16,209.57 and 6,441 is: 8,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.90 : 16,209.57 = 6,441 : x
  2. Step 2: Convert to fraction form
    11,745.90/16,209.57 = 6,441/x
  3. Step 3: Cross multiply
    11,745.90x = 16,209.57 × 6,441
  4. Step 4: Simplify right side
    11,745.90x = 104,405,840.37
  5. Step 5: Solve for x
    x = 104,405,840.37/11,745.90
  6. Step 6: Final answer
    x = 8,888.71

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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.