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Finding the Fourth Proportional to 11,744.98, 16,208.81 and 7,759.10

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Solution

The fourth proportional to 11,744.98, 16,208.81 and 7,759.10 is: 10,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.98 : 16,208.81 = 7,759.10 : x
  2. Step 2: Convert to fraction form
    11,744.98/16,208.81 = 7,759.10/x
  3. Step 3: Cross multiply
    11,744.98x = 16,208.81 × 7,759.10
  4. Step 4: Simplify right side
    11,744.98x = 125,765,837.59
  5. Step 5: Solve for x
    x = 125,765,837.59/11,744.98
  6. Step 6: Final answer
    x = 10,708.05

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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.