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Finding the Fourth Proportional to 10,815.82, 16,174.31 and 7,864.18

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Solution

The fourth proportional to 10,815.82, 16,174.31 and 7,864.18 is: 11,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.82 : 16,174.31 = 7,864.18 : x
  2. Step 2: Convert to fraction form
    10,815.82/16,174.31 = 7,864.18/x
  3. Step 3: Cross multiply
    10,815.82x = 16,174.31 × 7,864.18
  4. Step 4: Simplify right side
    10,815.82x = 127,197,685.22
  5. Step 5: Solve for x
    x = 127,197,685.22/10,815.82
  6. Step 6: Final answer
    x = 11,760.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.