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Finding the Fourth Proportional to 11,454.89, 17,179.64 and 6,459.41

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Solution

The fourth proportional to 11,454.89, 17,179.64 and 6,459.41 is: 9,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.89 : 17,179.64 = 6,459.41 : x
  2. Step 2: Convert to fraction form
    11,454.89/17,179.64 = 6,459.41/x
  3. Step 3: Cross multiply
    11,454.89x = 17,179.64 × 6,459.41
  4. Step 4: Simplify right side
    11,454.89x = 110,970,220.22
  5. Step 5: Solve for x
    x = 110,970,220.22/11,454.89
  6. Step 6: Final answer
    x = 9,687.59

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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.