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Finding the Fourth Proportional to 11,749.50, 16,213.53 and 6,443.25

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Solution

The fourth proportional to 11,749.50, 16,213.53 and 6,443.25 is: 8,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.50 : 16,213.53 = 6,443.25 : x
  2. Step 2: Convert to fraction form
    11,749.50/16,213.53 = 6,443.25/x
  3. Step 3: Cross multiply
    11,749.50x = 16,213.53 × 6,443.25
  4. Step 4: Simplify right side
    11,749.50x = 104,467,827.17
  5. Step 5: Solve for x
    x = 104,467,827.17/11,749.50
  6. Step 6: Final answer
    x = 8,891.26

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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.