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Finding the Fourth Proportional to 11,144.25, 16,709.90 and 3,744.63

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Solution

The fourth proportional to 11,144.25, 16,709.90 and 3,744.63 is: 5,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.25 : 16,709.90 = 3,744.63 : x
  2. Step 2: Convert to fraction form
    11,144.25/16,709.90 = 3,744.63/x
  3. Step 3: Cross multiply
    11,144.25x = 16,709.90 × 3,744.63
  4. Step 4: Simplify right side
    11,144.25x = 62,572,374.11
  5. Step 5: Solve for x
    x = 62,572,374.11/11,144.25
  6. Step 6: Final answer
    x = 5,614.77

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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.