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Finding the Fourth Proportional to 27,454.62, 41,184.36 and 7,733.37

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Solution

The fourth proportional to 27,454.62, 41,184.36 and 7,733.37 is: 11,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.62 : 41,184.36 = 7,733.37 : x
  2. Step 2: Convert to fraction form
    27,454.62/41,184.36 = 7,733.37/x
  3. Step 3: Cross multiply
    27,454.62x = 41,184.36 × 7,733.37
  4. Step 4: Simplify right side
    27,454.62x = 318,493,894.09
  5. Step 5: Solve for x
    x = 318,493,894.09/27,454.62
  6. Step 6: Final answer
    x = 11,600.74

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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.