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Finding the Fourth Proportional to 27,185.12, 40,773 and 7,194.88

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Solution

The fourth proportional to 27,185.12, 40,773 and 7,194.88 is: 10,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.12 : 40,773 = 7,194.88 : x
  2. Step 2: Convert to fraction form
    27,185.12/40,773 = 7,194.88/x
  3. Step 3: Cross multiply
    27,185.12x = 40,773 × 7,194.88
  4. Step 4: Simplify right side
    27,185.12x = 293,356,842.24
  5. Step 5: Solve for x
    x = 293,356,842.24/27,185.12
  6. Step 6: Final answer
    x = 10,791.08

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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.