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Finding the Fourth Proportional to 7,471.66, 11,206.82 and 2,789.45

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Solution

The fourth proportional to 7,471.66, 11,206.82 and 2,789.45 is: 4,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.66 : 11,206.82 = 2,789.45 : x
  2. Step 2: Convert to fraction form
    7,471.66/11,206.82 = 2,789.45/x
  3. Step 3: Cross multiply
    7,471.66x = 11,206.82 × 2,789.45
  4. Step 4: Simplify right side
    7,471.66x = 31,260,854.39
  5. Step 5: Solve for x
    x = 31,260,854.39/7,471.66
  6. Step 6: Final answer
    x = 4,183.92

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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.