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Finding the Fourth Proportional to 11,647.57, 17,471.40 and 2,882.46

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Solution

The fourth proportional to 11,647.57, 17,471.40 and 2,882.46 is: 4,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.57 : 17,471.40 = 2,882.46 : x
  2. Step 2: Convert to fraction form
    11,647.57/17,471.40 = 2,882.46/x
  3. Step 3: Cross multiply
    11,647.57x = 17,471.40 × 2,882.46
  4. Step 4: Simplify right side
    11,647.57x = 50,360,611.64
  5. Step 5: Solve for x
    x = 50,360,611.64/11,647.57
  6. Step 6: Final answer
    x = 4,323.70

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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.