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Finding the Fourth Proportional to 7,494.29, 10,343.07 and 4,511.73

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Solution

The fourth proportional to 7,494.29, 10,343.07 and 4,511.73 is: 6,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.29 : 10,343.07 = 4,511.73 : x
  2. Step 2: Convert to fraction form
    7,494.29/10,343.07 = 4,511.73/x
  3. Step 3: Cross multiply
    7,494.29x = 10,343.07 × 4,511.73
  4. Step 4: Simplify right side
    7,494.29x = 46,665,139.21
  5. Step 5: Solve for x
    x = 46,665,139.21/7,494.29
  6. Step 6: Final answer
    x = 6,226.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.