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Finding the Fourth Proportional to 10,910.64, 16,371.60 and 5,071.44

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Solution

The fourth proportional to 10,910.64, 16,371.60 and 5,071.44 is: 7,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.64 : 16,371.60 = 5,071.44 : x
  2. Step 2: Convert to fraction form
    10,910.64/16,371.60 = 5,071.44/x
  3. Step 3: Cross multiply
    10,910.64x = 16,371.60 × 5,071.44
  4. Step 4: Simplify right side
    10,910.64x = 83,027,587.10
  5. Step 5: Solve for x
    x = 83,027,587.10/10,910.64
  6. Step 6: Final answer
    x = 7,609.78

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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.