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Finding the Fourth Proportional to 11,892.16, 17,839.84 and 4,965.04

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Solution

The fourth proportional to 11,892.16, 17,839.84 and 4,965.04 is: 7,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.16 : 17,839.84 = 4,965.04 : x
  2. Step 2: Convert to fraction form
    11,892.16/17,839.84 = 4,965.04/x
  3. Step 3: Cross multiply
    11,892.16x = 17,839.84 × 4,965.04
  4. Step 4: Simplify right side
    11,892.16x = 88,575,519.19
  5. Step 5: Solve for x
    x = 88,575,519.19/11,892.16
  6. Step 6: Final answer
    x = 7,448.23

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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.