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Finding the Fourth Proportional to 11,494.48, 17,245.68 and 5,257.12

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Solution

The fourth proportional to 11,494.48, 17,245.68 and 5,257.12 is: 7,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.48 : 17,245.68 = 5,257.12 : x
  2. Step 2: Convert to fraction form
    11,494.48/17,245.68 = 5,257.12/x
  3. Step 3: Cross multiply
    11,494.48x = 17,245.68 × 5,257.12
  4. Step 4: Simplify right side
    11,494.48x = 90,662,609.24
  5. Step 5: Solve for x
    x = 90,662,609.24/11,494.48
  6. Step 6: Final answer
    x = 7,887.49

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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.