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Finding the Fourth Proportional to 7,427.92, 11,142.21 and 3,042.30

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Solution

The fourth proportional to 7,427.92, 11,142.21 and 3,042.30 is: 4,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.92 : 11,142.21 = 3,042.30 : x
  2. Step 2: Convert to fraction form
    7,427.92/11,142.21 = 3,042.30/x
  3. Step 3: Cross multiply
    7,427.92x = 11,142.21 × 3,042.30
  4. Step 4: Simplify right side
    7,427.92x = 33,897,945.48
  5. Step 5: Solve for x
    x = 33,897,945.48/7,427.92
  6. Step 6: Final answer
    x = 4,563.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.