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Finding the Fourth Proportional to 11,172.84, 15,414.65 and 6,634.49

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Solution

The fourth proportional to 11,172.84, 15,414.65 and 6,634.49 is: 9,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.84 : 15,414.65 = 6,634.49 : x
  2. Step 2: Convert to fraction form
    11,172.84/15,414.65 = 6,634.49/x
  3. Step 3: Cross multiply
    11,172.84x = 15,414.65 × 6,634.49
  4. Step 4: Simplify right side
    11,172.84x = 102,268,231.03
  5. Step 5: Solve for x
    x = 102,268,231.03/11,172.84
  6. Step 6: Final answer
    x = 9,153.29

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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.