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Finding the Fourth Proportional to 10,018.92, 13,826.28 and 5,542.56

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Solution

The fourth proportional to 10,018.92, 13,826.28 and 5,542.56 is: 7,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.92 : 13,826.28 = 5,542.56 : x
  2. Step 2: Convert to fraction form
    10,018.92/13,826.28 = 5,542.56/x
  3. Step 3: Cross multiply
    10,018.92x = 13,826.28 × 5,542.56
  4. Step 4: Simplify right side
    10,018.92x = 76,632,986.48
  5. Step 5: Solve for x
    x = 76,632,986.48/10,018.92
  6. Step 6: Final answer
    x = 7,648.83

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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.