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Finding the Fourth Proportional to 11,329.72, 16,969.93 and 5,474

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Solution

The fourth proportional to 11,329.72, 16,969.93 and 5,474 is: 8,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.72 : 16,969.93 = 5,474 : x
  2. Step 2: Convert to fraction form
    11,329.72/16,969.93 = 5,474/x
  3. Step 3: Cross multiply
    11,329.72x = 16,969.93 × 5,474
  4. Step 4: Simplify right side
    11,329.72x = 92,893,396.82
  5. Step 5: Solve for x
    x = 92,893,396.82/11,329.72
  6. Step 6: Final answer
    x = 8,199.09

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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.