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Finding the Fourth Proportional to 11,446.14, 17,158.93 and 7,274.43

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Solution

The fourth proportional to 11,446.14, 17,158.93 and 7,274.43 is: 10,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.14 : 17,158.93 = 7,274.43 : x
  2. Step 2: Convert to fraction form
    11,446.14/17,158.93 = 7,274.43/x
  3. Step 3: Cross multiply
    11,446.14x = 17,158.93 × 7,274.43
  4. Step 4: Simplify right side
    11,446.14x = 124,821,435.16
  5. Step 5: Solve for x
    x = 124,821,435.16/11,446.14
  6. Step 6: Final answer
    x = 10,905.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.