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Finding the Fourth Proportional to 11,744.90, 16,208.09 and 6,709.79

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Solution

The fourth proportional to 11,744.90, 16,208.09 and 6,709.79 is: 9,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.90 : 16,208.09 = 6,709.79 : x
  2. Step 2: Convert to fraction form
    11,744.90/16,208.09 = 6,709.79/x
  3. Step 3: Cross multiply
    11,744.90x = 16,208.09 × 6,709.79
  4. Step 4: Simplify right side
    11,744.90x = 108,752,880.20
  5. Step 5: Solve for x
    x = 108,752,880.20/11,744.90
  6. Step 6: Final answer
    x = 9,259.58

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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.