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Finding the Fourth Proportional to 7,663.38, 11,495.07 and 2,469.66

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Solution

The fourth proportional to 7,663.38, 11,495.07 and 2,469.66 is: 3,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.38 : 11,495.07 = 2,469.66 : x
  2. Step 2: Convert to fraction form
    7,663.38/11,495.07 = 2,469.66/x
  3. Step 3: Cross multiply
    7,663.38x = 11,495.07 × 2,469.66
  4. Step 4: Simplify right side
    7,663.38x = 28,388,914.58
  5. Step 5: Solve for x
    x = 28,388,914.58/7,663.38
  6. Step 6: Final answer
    x = 3,704.49

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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.