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Finding the Fourth Proportional to 27,581.04, 41,372.88 and 7,860.96

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Solution

The fourth proportional to 27,581.04, 41,372.88 and 7,860.96 is: 11,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.04 : 41,372.88 = 7,860.96 : x
  2. Step 2: Convert to fraction form
    27,581.04/41,372.88 = 7,860.96/x
  3. Step 3: Cross multiply
    27,581.04x = 41,372.88 × 7,860.96
  4. Step 4: Simplify right side
    27,581.04x = 325,230,554.76
  5. Step 5: Solve for x
    x = 325,230,554.76/27,581.04
  6. Step 6: Final answer
    x = 11,791.82

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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.