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Finding the Fourth Proportional to 10,744.68, 16,111.86 and 3,349.26

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Solution

The fourth proportional to 10,744.68, 16,111.86 and 3,349.26 is: 5,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.68 : 16,111.86 = 3,349.26 : x
  2. Step 2: Convert to fraction form
    10,744.68/16,111.86 = 3,349.26/x
  3. Step 3: Cross multiply
    10,744.68x = 16,111.86 × 3,349.26
  4. Step 4: Simplify right side
    10,744.68x = 53,962,808.22
  5. Step 5: Solve for x
    x = 53,962,808.22/10,744.68
  6. Step 6: Final answer
    x = 5,022.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.