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Finding the Fourth Proportional to 10,995.82, 15,174.24 and 5,960

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Solution

The fourth proportional to 10,995.82, 15,174.24 and 5,960 is: 8,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.82 : 15,174.24 = 5,960 : x
  2. Step 2: Convert to fraction form
    10,995.82/15,174.24 = 5,960/x
  3. Step 3: Cross multiply
    10,995.82x = 15,174.24 × 5,960
  4. Step 4: Simplify right side
    10,995.82x = 90,438,470.40
  5. Step 5: Solve for x
    x = 90,438,470.40/10,995.82
  6. Step 6: Final answer
    x = 8,224.80

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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.