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Finding the Fourth Proportional to 7,796.25, 11,694.38 and 2,602.53

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Solution

The fourth proportional to 7,796.25, 11,694.38 and 2,602.53 is: 3,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.25 : 11,694.38 = 2,602.53 : x
  2. Step 2: Convert to fraction form
    7,796.25/11,694.38 = 2,602.53/x
  3. Step 3: Cross multiply
    7,796.25x = 11,694.38 × 2,602.53
  4. Step 4: Simplify right side
    7,796.25x = 30,434,961.77
  5. Step 5: Solve for x
    x = 30,434,961.77/7,796.25
  6. Step 6: Final answer
    x = 3,903.80

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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.