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Finding the Fourth Proportional to 10,493.60, 14,481.09 and 5,713.20

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Solution

The fourth proportional to 10,493.60, 14,481.09 and 5,713.20 is: 7,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.60 : 14,481.09 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    10,493.60/14,481.09 = 5,713.20/x
  3. Step 3: Cross multiply
    10,493.60x = 14,481.09 × 5,713.20
  4. Step 4: Simplify right side
    10,493.60x = 82,733,363.39
  5. Step 5: Solve for x
    x = 82,733,363.39/10,493.60
  6. Step 6: Final answer
    x = 7,884.18

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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.