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Finding the Fourth Proportional to 27,682.80, 41,518.08 and 7,956.96

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Solution

The fourth proportional to 27,682.80, 41,518.08 and 7,956.96 is: 11,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.80 : 41,518.08 = 7,956.96 : x
  2. Step 2: Convert to fraction form
    27,682.80/41,518.08 = 7,956.96/x
  3. Step 3: Cross multiply
    27,682.80x = 41,518.08 × 7,956.96
  4. Step 4: Simplify right side
    27,682.80x = 330,357,701.84
  5. Step 5: Solve for x
    x = 330,357,701.84/27,682.80
  6. Step 6: Final answer
    x = 11,933.68

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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.