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Finding the Fourth Proportional to 7,489.20, 11,224.80 and 3,104.40

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Solution

The fourth proportional to 7,489.20, 11,224.80 and 3,104.40 is: 4,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.20 : 11,224.80 = 3,104.40 : x
  2. Step 2: Convert to fraction form
    7,489.20/11,224.80 = 3,104.40/x
  3. Step 3: Cross multiply
    7,489.20x = 11,224.80 × 3,104.40
  4. Step 4: Simplify right side
    7,489.20x = 34,846,269.12
  5. Step 5: Solve for x
    x = 34,846,269.12/7,489.20
  6. Step 6: Final answer
    x = 4,652.87

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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.