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Finding the Fourth Proportional to 7,609.97, 11,415.33 and 2,416.25

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Solution

The fourth proportional to 7,609.97, 11,415.33 and 2,416.25 is: 3,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.97 : 11,415.33 = 2,416.25 : x
  2. Step 2: Convert to fraction form
    7,609.97/11,415.33 = 2,416.25/x
  3. Step 3: Cross multiply
    7,609.97x = 11,415.33 × 2,416.25
  4. Step 4: Simplify right side
    7,609.97x = 27,582,234.04
  5. Step 5: Solve for x
    x = 27,582,234.04/7,609.97
  6. Step 6: Final answer
    x = 3,624.49

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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.