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Finding the Fourth Proportional to 11,714.36, 16,171.10 and 7,471.12

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Solution

The fourth proportional to 11,714.36, 16,171.10 and 7,471.12 is: 10,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.36 : 16,171.10 = 7,471.12 : x
  2. Step 2: Convert to fraction form
    11,714.36/16,171.10 = 7,471.12/x
  3. Step 3: Cross multiply
    11,714.36x = 16,171.10 × 7,471.12
  4. Step 4: Simplify right side
    11,714.36x = 120,816,228.63
  5. Step 5: Solve for x
    x = 120,816,228.63/11,714.36
  6. Step 6: Final answer
    x = 10,313.52

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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.