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Finding the Fourth Proportional to 8,065.90, 12,098.73 and 3,906.28

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Solution

The fourth proportional to 8,065.90, 12,098.73 and 3,906.28 is: 5,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.90 : 12,098.73 = 3,906.28 : x
  2. Step 2: Convert to fraction form
    8,065.90/12,098.73 = 3,906.28/x
  3. Step 3: Cross multiply
    8,065.90x = 12,098.73 × 3,906.28
  4. Step 4: Simplify right side
    8,065.90x = 47,261,027.02
  5. Step 5: Solve for x
    x = 47,261,027.02/8,065.90
  6. Step 6: Final answer
    x = 5,859.36

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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.