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Finding the Fourth Proportional to 11,489.64, 15,861.60 and 6,775.44

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Solution

The fourth proportional to 11,489.64, 15,861.60 and 6,775.44 is: 9,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.64 : 15,861.60 = 6,775.44 : x
  2. Step 2: Convert to fraction form
    11,489.64/15,861.60 = 6,775.44/x
  3. Step 3: Cross multiply
    11,489.64x = 15,861.60 × 6,775.44
  4. Step 4: Simplify right side
    11,489.64x = 107,469,319.10
  5. Step 5: Solve for x
    x = 107,469,319.10/11,489.64
  6. Step 6: Final answer
    x = 9,353.58

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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.