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Finding the Fourth Proportional to 27,788.38, 41,682.63 and 7,011.88

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Solution

The fourth proportional to 27,788.38, 41,682.63 and 7,011.88 is: 10,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.38 : 41,682.63 = 7,011.88 : x
  2. Step 2: Convert to fraction form
    27,788.38/41,682.63 = 7,011.88/x
  3. Step 3: Cross multiply
    27,788.38x = 41,682.63 × 7,011.88
  4. Step 4: Simplify right side
    27,788.38x = 292,273,599.64
  5. Step 5: Solve for x
    x = 292,273,599.64/27,788.38
  6. Step 6: Final answer
    x = 10,517.84

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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.