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Finding the Fourth Proportional to 11,752.14, 16,218.18 and 6,446.96

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Solution

The fourth proportional to 11,752.14, 16,218.18 and 6,446.96 is: 8,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.14 : 16,218.18 = 6,446.96 : x
  2. Step 2: Convert to fraction form
    11,752.14/16,218.18 = 6,446.96/x
  3. Step 3: Cross multiply
    11,752.14x = 16,218.18 × 6,446.96
  4. Step 4: Simplify right side
    11,752.14x = 104,557,957.73
  5. Step 5: Solve for x
    x = 104,557,957.73/11,752.14
  6. Step 6: Final answer
    x = 8,896.93

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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.