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Finding the Fourth Proportional to 27,492, 41,233.36 and 7,765.92

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Solution

The fourth proportional to 27,492, 41,233.36 and 7,765.92 is: 11,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 41,233.36 = 7,765.92 : x
  2. Step 2: Convert to fraction form
    27,492/41,233.36 = 7,765.92/x
  3. Step 3: Cross multiply
    27,492x = 41,233.36 × 7,765.92
  4. Step 4: Simplify right side
    27,492x = 320,214,975.09
  5. Step 5: Solve for x
    x = 320,214,975.09/27,492
  6. Step 6: Final answer
    x = 11,647.57

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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.