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Finding the Fourth Proportional to 7,754.40, 11,633.36 and 2,489.78

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Solution

The fourth proportional to 7,754.40, 11,633.36 and 2,489.78 is: 3,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.40 : 11,633.36 = 2,489.78 : x
  2. Step 2: Convert to fraction form
    7,754.40/11,633.36 = 2,489.78/x
  3. Step 3: Cross multiply
    7,754.40x = 11,633.36 × 2,489.78
  4. Step 4: Simplify right side
    7,754.40x = 28,964,507.06
  5. Step 5: Solve for x
    x = 28,964,507.06/7,754.40
  6. Step 6: Final answer
    x = 3,735.24

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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.