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Finding the Fourth Proportional to 10,220.57, 14,103.74 and 5,744.26

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Solution

The fourth proportional to 10,220.57, 14,103.74 and 5,744.26 is: 7,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.57 : 14,103.74 = 5,744.26 : x
  2. Step 2: Convert to fraction form
    10,220.57/14,103.74 = 5,744.26/x
  3. Step 3: Cross multiply
    10,220.57x = 14,103.74 × 5,744.26
  4. Step 4: Simplify right side
    10,220.57x = 81,015,528.63
  5. Step 5: Solve for x
    x = 81,015,528.63/10,220.57
  6. Step 6: Final answer
    x = 7,926.71

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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.