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Finding the Fourth Proportional to 11,518.84, 17,286.90 and 7,142.68

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Solution

The fourth proportional to 11,518.84, 17,286.90 and 7,142.68 is: 10,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.84 : 17,286.90 = 7,142.68 : x
  2. Step 2: Convert to fraction form
    11,518.84/17,286.90 = 7,142.68/x
  3. Step 3: Cross multiply
    11,518.84x = 17,286.90 × 7,142.68
  4. Step 4: Simplify right side
    11,518.84x = 123,474,794.89
  5. Step 5: Solve for x
    x = 123,474,794.89/11,518.84
  6. Step 6: Final answer
    x = 10,719.38

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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.