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Finding the Fourth Proportional to 10,020.22, 13,828.31 and 5,543.90

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Solution

The fourth proportional to 10,020.22, 13,828.31 and 5,543.90 is: 7,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.22 : 13,828.31 = 5,543.90 : x
  2. Step 2: Convert to fraction form
    10,020.22/13,828.31 = 5,543.90/x
  3. Step 3: Cross multiply
    10,020.22x = 13,828.31 × 5,543.90
  4. Step 4: Simplify right side
    10,020.22x = 76,662,757.45
  5. Step 5: Solve for x
    x = 76,662,757.45/10,020.22
  6. Step 6: Final answer
    x = 7,650.81

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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.