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Finding the Fourth Proportional to 11,675.40, 17,510.40 and 3,882.12

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Solution

The fourth proportional to 11,675.40, 17,510.40 and 3,882.12 is: 5,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.40 : 17,510.40 = 3,882.12 : x
  2. Step 2: Convert to fraction form
    11,675.40/17,510.40 = 3,882.12/x
  3. Step 3: Cross multiply
    11,675.40x = 17,510.40 × 3,882.12
  4. Step 4: Simplify right side
    11,675.40x = 67,977,474.05
  5. Step 5: Solve for x
    x = 67,977,474.05/11,675.40
  6. Step 6: Final answer
    x = 5,822.28

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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.