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Finding the Fourth Proportional to 11,874.72, 17,809.28 and 5,297.36

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Solution

The fourth proportional to 11,874.72, 17,809.28 and 5,297.36 is: 7,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.72 : 17,809.28 = 5,297.36 : x
  2. Step 2: Convert to fraction form
    11,874.72/17,809.28 = 5,297.36/x
  3. Step 3: Cross multiply
    11,874.72x = 17,809.28 × 5,297.36
  4. Step 4: Simplify right side
    11,874.72x = 94,342,167.50
  5. Step 5: Solve for x
    x = 94,342,167.50/11,874.72
  6. Step 6: Final answer
    x = 7,944.79

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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.