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Finding the Fourth Proportional to 11,369.16, 17,046 and 3,969.56

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Solution

The fourth proportional to 11,369.16, 17,046 and 3,969.56 is: 5,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.16 : 17,046 = 3,969.56 : x
  2. Step 2: Convert to fraction form
    11,369.16/17,046 = 3,969.56/x
  3. Step 3: Cross multiply
    11,369.16x = 17,046 × 3,969.56
  4. Step 4: Simplify right side
    11,369.16x = 67,665,162.38
  5. Step 5: Solve for x
    x = 67,665,162.38/11,369.16
  6. Step 6: Final answer
    x = 5,951.64

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Why These Related Problems?

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