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Finding the Fourth Proportional to 10,221.53, 14,104.53 and 5,744.39

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Solution

The fourth proportional to 10,221.53, 14,104.53 and 5,744.39 is: 7,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.53 : 14,104.53 = 5,744.39 : x
  2. Step 2: Convert to fraction form
    10,221.53/14,104.53 = 5,744.39/x
  3. Step 3: Cross multiply
    10,221.53x = 14,104.53 × 5,744.39
  4. Step 4: Simplify right side
    10,221.53x = 81,021,850.56
  5. Step 5: Solve for x
    x = 81,021,850.56/10,221.53
  6. Step 6: Final answer
    x = 7,926.59

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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.