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Finding the Fourth Proportional to 11,042.80, 15,241.44 and 7,266.31

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Solution

The fourth proportional to 11,042.80, 15,241.44 and 7,266.31 is: 10,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.80 : 15,241.44 = 7,266.31 : x
  2. Step 2: Convert to fraction form
    11,042.80/15,241.44 = 7,266.31/x
  3. Step 3: Cross multiply
    11,042.80x = 15,241.44 × 7,266.31
  4. Step 4: Simplify right side
    11,042.80x = 110,749,027.89
  5. Step 5: Solve for x
    x = 110,749,027.89/11,042.80
  6. Step 6: Final answer
    x = 10,029.07

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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.