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Finding the Fourth Proportional to 10,220.80, 14,103.48 and 5,744

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Solution

The fourth proportional to 10,220.80, 14,103.48 and 5,744 is: 7,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.80 : 14,103.48 = 5,744 : x
  2. Step 2: Convert to fraction form
    10,220.80/14,103.48 = 5,744/x
  3. Step 3: Cross multiply
    10,220.80x = 14,103.48 × 5,744
  4. Step 4: Simplify right side
    10,220.80x = 81,010,389.12
  5. Step 5: Solve for x
    x = 81,010,389.12/10,220.80
  6. Step 6: Final answer
    x = 7,926.03

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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.