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Finding the Fourth Proportional to 10,272, 14,174.14 and 5,795.49

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Solution

The fourth proportional to 10,272, 14,174.14 and 5,795.49 is: 7,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 14,174.14 = 5,795.49 : x
  2. Step 2: Convert to fraction form
    10,272/14,174.14 = 5,795.49/x
  3. Step 3: Cross multiply
    10,272x = 14,174.14 × 5,795.49
  4. Step 4: Simplify right side
    10,272x = 82,146,057.65
  5. Step 5: Solve for x
    x = 82,146,057.65/10,272
  6. Step 6: Final answer
    x = 7,997.09

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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.