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Finding the Fourth Proportional to 10,481.64, 14,464.51 and 5,701.48

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Solution

The fourth proportional to 10,481.64, 14,464.51 and 5,701.48 is: 7,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.64 : 14,464.51 = 5,701.48 : x
  2. Step 2: Convert to fraction form
    10,481.64/14,464.51 = 5,701.48/x
  3. Step 3: Cross multiply
    10,481.64x = 14,464.51 × 5,701.48
  4. Step 4: Simplify right side
    10,481.64x = 82,469,114.47
  5. Step 5: Solve for x
    x = 82,469,114.47/10,481.64
  6. Step 6: Final answer
    x = 7,867.96

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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.