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Finding the Fourth Proportional to 11,647.60, 17,471.50 and 2,882.59

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Solution

The fourth proportional to 11,647.60, 17,471.50 and 2,882.59 is: 4,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.60 : 17,471.50 = 2,882.59 : x
  2. Step 2: Convert to fraction form
    11,647.60/17,471.50 = 2,882.59/x
  3. Step 3: Cross multiply
    11,647.60x = 17,471.50 × 2,882.59
  4. Step 4: Simplify right side
    11,647.60x = 50,363,120.30
  5. Step 5: Solve for x
    x = 50,363,120.30/11,647.60
  6. Step 6: Final answer
    x = 4,323.91

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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.