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Finding the Fourth Proportional to 11,714.49, 16,171.28 and 7,471.24

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Solution

The fourth proportional to 11,714.49, 16,171.28 and 7,471.24 is: 10,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.49 : 16,171.28 = 7,471.24 : x
  2. Step 2: Convert to fraction form
    11,714.49/16,171.28 = 7,471.24/x
  3. Step 3: Cross multiply
    11,714.49x = 16,171.28 × 7,471.24
  4. Step 4: Simplify right side
    11,714.49x = 120,819,513.99
  5. Step 5: Solve for x
    x = 120,819,513.99/11,714.49
  6. Step 6: Final answer
    x = 10,313.68

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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.