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Finding the Fourth Proportional to 27,700.30, 41,546.82 and 7,711.12

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Solution

The fourth proportional to 27,700.30, 41,546.82 and 7,711.12 is: 11,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.30 : 41,546.82 = 7,711.12 : x
  2. Step 2: Convert to fraction form
    27,700.30/41,546.82 = 7,711.12/x
  3. Step 3: Cross multiply
    27,700.30x = 41,546.82 × 7,711.12
  4. Step 4: Simplify right side
    27,700.30x = 320,372,514.64
  5. Step 5: Solve for x
    x = 320,372,514.64/27,700.30
  6. Step 6: Final answer
    x = 11,565.67

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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.