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Finding the Fourth Proportional to 11,797.30, 16,274.82 and 7,073.38

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Solution

The fourth proportional to 11,797.30, 16,274.82 and 7,073.38 is: 9,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.30 : 16,274.82 = 7,073.38 : x
  2. Step 2: Convert to fraction form
    11,797.30/16,274.82 = 7,073.38/x
  3. Step 3: Cross multiply
    11,797.30x = 16,274.82 × 7,073.38
  4. Step 4: Simplify right side
    11,797.30x = 115,117,986.29
  5. Step 5: Solve for x
    x = 115,117,986.29/11,797.30
  6. Step 6: Final answer
    x = 9,757.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.