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Finding the Fourth Proportional to 7,471.68, 11,203.80 and 2,789.68

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Solution

The fourth proportional to 7,471.68, 11,203.80 and 2,789.68 is: 4,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.68 : 11,203.80 = 2,789.68 : x
  2. Step 2: Convert to fraction form
    7,471.68/11,203.80 = 2,789.68/x
  3. Step 3: Cross multiply
    7,471.68x = 11,203.80 × 2,789.68
  4. Step 4: Simplify right side
    7,471.68x = 31,255,016.78
  5. Step 5: Solve for x
    x = 31,255,016.78/7,471.68
  6. Step 6: Final answer
    x = 4,183.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.