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Finding the Fourth Proportional to 11,748.92, 16,213.73 and 6,444

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Solution

The fourth proportional to 11,748.92, 16,213.73 and 6,444 is: 8,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.92 : 16,213.73 = 6,444 : x
  2. Step 2: Convert to fraction form
    11,748.92/16,213.73 = 6,444/x
  3. Step 3: Cross multiply
    11,748.92x = 16,213.73 × 6,444
  4. Step 4: Simplify right side
    11,748.92x = 104,481,243.90
  5. Step 5: Solve for x
    x = 104,481,243.90/11,748.92
  6. Step 6: Final answer
    x = 8,892.84

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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.