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Finding the Fourth Proportional to 10,019.13, 13,826.12 and 5,542.73

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Solution

The fourth proportional to 10,019.13, 13,826.12 and 5,542.73 is: 7,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.13 : 13,826.12 = 5,542.73 : x
  2. Step 2: Convert to fraction form
    10,019.13/13,826.12 = 5,542.73/x
  3. Step 3: Cross multiply
    10,019.13x = 13,826.12 × 5,542.73
  4. Step 4: Simplify right side
    10,019.13x = 76,634,353.26
  5. Step 5: Solve for x
    x = 76,634,353.26/10,019.13
  6. Step 6: Final answer
    x = 7,648.80

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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.