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Finding the Fourth Proportional to 11,747.60, 17,621.17 and 2,862.98

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Solution

The fourth proportional to 11,747.60, 17,621.17 and 2,862.98 is: 4,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.60 : 17,621.17 = 2,862.98 : x
  2. Step 2: Convert to fraction form
    11,747.60/17,621.17 = 2,862.98/x
  3. Step 3: Cross multiply
    11,747.60x = 17,621.17 × 2,862.98
  4. Step 4: Simplify right side
    11,747.60x = 50,449,057.29
  5. Step 5: Solve for x
    x = 50,449,057.29/11,747.60
  6. Step 6: Final answer
    x = 4,294.41

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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.