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Finding the Fourth Proportional to 7,489.56, 11,234.28 and 2,295.48

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Solution

The fourth proportional to 7,489.56, 11,234.28 and 2,295.48 is: 3,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.56 : 11,234.28 = 2,295.48 : x
  2. Step 2: Convert to fraction form
    7,489.56/11,234.28 = 2,295.48/x
  3. Step 3: Cross multiply
    7,489.56x = 11,234.28 × 2,295.48
  4. Step 4: Simplify right side
    7,489.56x = 25,788,065.05
  5. Step 5: Solve for x
    x = 25,788,065.05/7,489.56
  6. Step 6: Final answer
    x = 3,443.20

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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.