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Finding the Fourth Proportional to 6,944.58, 10,414.71 and 2,326.50

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Solution

The fourth proportional to 6,944.58, 10,414.71 and 2,326.50 is: 3,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.58 : 10,414.71 = 2,326.50 : x
  2. Step 2: Convert to fraction form
    6,944.58/10,414.71 = 2,326.50/x
  3. Step 3: Cross multiply
    6,944.58x = 10,414.71 × 2,326.50
  4. Step 4: Simplify right side
    6,944.58x = 24,229,822.82
  5. Step 5: Solve for x
    x = 24,229,822.82/6,944.58
  6. Step 6: Final answer
    x = 3,489.03

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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.