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Finding the Fourth Proportional to 7,754.94, 11,633.22 and 3,074.76

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Solution

The fourth proportional to 7,754.94, 11,633.22 and 3,074.76 is: 4,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.94 : 11,633.22 = 3,074.76 : x
  2. Step 2: Convert to fraction form
    7,754.94/11,633.22 = 3,074.76/x
  3. Step 3: Cross multiply
    7,754.94x = 11,633.22 × 3,074.76
  4. Step 4: Simplify right side
    7,754.94x = 35,769,359.53
  5. Step 5: Solve for x
    x = 35,769,359.53/7,754.94
  6. Step 6: Final answer
    x = 4,612.46

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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.