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Finding the Fourth Proportional to 7,754.91, 11,634.81 and 2,564.43

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Solution

The fourth proportional to 7,754.91, 11,634.81 and 2,564.43 is: 3,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.91 : 11,634.81 = 2,564.43 : x
  2. Step 2: Convert to fraction form
    7,754.91/11,634.81 = 2,564.43/x
  3. Step 3: Cross multiply
    7,754.91x = 11,634.81 × 2,564.43
  4. Step 4: Simplify right side
    7,754.91x = 29,836,655.81
  5. Step 5: Solve for x
    x = 29,836,655.81/7,754.91
  6. Step 6: Final answer
    x = 3,847.45

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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.