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Finding the Fourth Proportional to 11,459.88, 17,185.72 and 6,198.78

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Solution

The fourth proportional to 11,459.88, 17,185.72 and 6,198.78 is: 9,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.88 : 17,185.72 = 6,198.78 : x
  2. Step 2: Convert to fraction form
    11,459.88/17,185.72 = 6,198.78/x
  3. Step 3: Cross multiply
    11,459.88x = 17,185.72 × 6,198.78
  4. Step 4: Simplify right side
    11,459.88x = 106,530,461.32
  5. Step 5: Solve for x
    x = 106,530,461.32/11,459.88
  6. Step 6: Final answer
    x = 9,295.95

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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.