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Finding the Fourth Proportional to 7,488.80, 11,236.44 and 4,022

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Solution

The fourth proportional to 7,488.80, 11,236.44 and 4,022 is: 6,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.80 : 11,236.44 = 4,022 : x
  2. Step 2: Convert to fraction form
    7,488.80/11,236.44 = 4,022/x
  3. Step 3: Cross multiply
    7,488.80x = 11,236.44 × 4,022
  4. Step 4: Simplify right side
    7,488.80x = 45,192,961.68
  5. Step 5: Solve for x
    x = 45,192,961.68/7,488.80
  6. Step 6: Final answer
    x = 6,034.74

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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.