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Finding the Fourth Proportional to 11,984.01, 17,972.92 and 4,965.99

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Solution

The fourth proportional to 11,984.01, 17,972.92 and 4,965.99 is: 7,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.01 : 17,972.92 = 4,965.99 : x
  2. Step 2: Convert to fraction form
    11,984.01/17,972.92 = 4,965.99/x
  3. Step 3: Cross multiply
    11,984.01x = 17,972.92 × 4,965.99
  4. Step 4: Simplify right side
    11,984.01x = 89,253,340.99
  5. Step 5: Solve for x
    x = 89,253,340.99/11,984.01
  6. Step 6: Final answer
    x = 7,447.70

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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.