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Finding the Fourth Proportional to 27,581.72, 41,366.34 and 7,859.84

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Solution

The fourth proportional to 27,581.72, 41,366.34 and 7,859.84 is: 11,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.72 : 41,366.34 = 7,859.84 : x
  2. Step 2: Convert to fraction form
    27,581.72/41,366.34 = 7,859.84/x
  3. Step 3: Cross multiply
    27,581.72x = 41,366.34 × 7,859.84
  4. Step 4: Simplify right side
    27,581.72x = 325,132,813.79
  5. Step 5: Solve for x
    x = 325,132,813.79/27,581.72
  6. Step 6: Final answer
    x = 11,787.98

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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.