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Finding the Fourth Proportional to 11,965.74, 16,511.10 and 6,659.84

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Solution

The fourth proportional to 11,965.74, 16,511.10 and 6,659.84 is: 9,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.74 : 16,511.10 = 6,659.84 : x
  2. Step 2: Convert to fraction form
    11,965.74/16,511.10 = 6,659.84/x
  3. Step 3: Cross multiply
    11,965.74x = 16,511.10 × 6,659.84
  4. Step 4: Simplify right side
    11,965.74x = 109,961,284.22
  5. Step 5: Solve for x
    x = 109,961,284.22/11,965.74
  6. Step 6: Final answer
    x = 9,189.68

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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.