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Finding the Fourth Proportional to 7,754.98, 11,631.50 and 2,489.57

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Solution

The fourth proportional to 7,754.98, 11,631.50 and 2,489.57 is: 3,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.98 : 11,631.50 = 2,489.57 : x
  2. Step 2: Convert to fraction form
    7,754.98/11,631.50 = 2,489.57/x
  3. Step 3: Cross multiply
    7,754.98x = 11,631.50 × 2,489.57
  4. Step 4: Simplify right side
    7,754.98x = 28,957,454.22
  5. Step 5: Solve for x
    x = 28,957,454.22/7,754.98
  6. Step 6: Final answer
    x = 3,734.05

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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.