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Finding the Fourth Proportional to 11,170.14, 15,414.18 and 7,634.22

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Solution

The fourth proportional to 11,170.14, 15,414.18 and 7,634.22 is: 10,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.14 : 15,414.18 = 7,634.22 : x
  2. Step 2: Convert to fraction form
    11,170.14/15,414.18 = 7,634.22/x
  3. Step 3: Cross multiply
    11,170.14x = 15,414.18 × 7,634.22
  4. Step 4: Simplify right side
    11,170.14x = 117,675,241.24
  5. Step 5: Solve for x
    x = 117,675,241.24/11,170.14
  6. Step 6: Final answer
    x = 10,534.80

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