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Finding the Fourth Proportional to 8,214.74, 11,335.73 and 5,028.54

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Solution

The fourth proportional to 8,214.74, 11,335.73 and 5,028.54 is: 6,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.74 : 11,335.73 = 5,028.54 : x
  2. Step 2: Convert to fraction form
    8,214.74/11,335.73 = 5,028.54/x
  3. Step 3: Cross multiply
    8,214.74x = 11,335.73 × 5,028.54
  4. Step 4: Simplify right side
    8,214.74x = 57,002,171.73
  5. Step 5: Solve for x
    x = 57,002,171.73/8,214.74
  6. Step 6: Final answer
    x = 6,939.01

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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.