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Finding the Fourth Proportional to 8,141.25, 11,229.58 and 6,459.99

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Solution

The fourth proportional to 8,141.25, 11,229.58 and 6,459.99 is: 8,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.25 : 11,229.58 = 6,459.99 : x
  2. Step 2: Convert to fraction form
    8,141.25/11,229.58 = 6,459.99/x
  3. Step 3: Cross multiply
    8,141.25x = 11,229.58 × 6,459.99
  4. Step 4: Simplify right side
    8,141.25x = 72,542,886.06
  5. Step 5: Solve for x
    x = 72,542,886.06/8,141.25
  6. Step 6: Final answer
    x = 8,910.54

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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.