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Finding the Fourth Proportional to 11,506.82, 17,282.10 and 7,154.68

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Solution

The fourth proportional to 11,506.82, 17,282.10 and 7,154.68 is: 10,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.82 : 17,282.10 = 7,154.68 : x
  2. Step 2: Convert to fraction form
    11,506.82/17,282.10 = 7,154.68/x
  3. Step 3: Cross multiply
    11,506.82x = 17,282.10 × 7,154.68
  4. Step 4: Simplify right side
    11,506.82x = 123,647,895.23
  5. Step 5: Solve for x
    x = 123,647,895.23/11,506.82
  6. Step 6: Final answer
    x = 10,745.62

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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.