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Finding the Fourth Proportional to 11,745.11, 16,209.27 and 6,440.96

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Solution

The fourth proportional to 11,745.11, 16,209.27 and 6,440.96 is: 8,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.11 : 16,209.27 = 6,440.96 : x
  2. Step 2: Convert to fraction form
    11,745.11/16,209.27 = 6,440.96/x
  3. Step 3: Cross multiply
    11,745.11x = 16,209.27 × 6,440.96
  4. Step 4: Simplify right side
    11,745.11x = 104,403,259.70
  5. Step 5: Solve for x
    x = 104,403,259.70/11,745.11
  6. Step 6: Final answer
    x = 8,889.08

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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.