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Finding the Fourth Proportional to 8,027.73, 12,028.64 and 4,943.25

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Solution

The fourth proportional to 8,027.73, 12,028.64 and 4,943.25 is: 7,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.73 : 12,028.64 = 4,943.25 : x
  2. Step 2: Convert to fraction form
    8,027.73/12,028.64 = 4,943.25/x
  3. Step 3: Cross multiply
    8,027.73x = 12,028.64 × 4,943.25
  4. Step 4: Simplify right side
    8,027.73x = 59,460,549.96
  5. Step 5: Solve for x
    x = 59,460,549.96/8,027.73
  6. Step 6: Final answer
    x = 7,406.89

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Why These Related Problems?

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