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Finding the Fourth Proportional to 27,808.34, 41,712.15 and 6,748.55

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Solution

The fourth proportional to 27,808.34, 41,712.15 and 6,748.55 is: 10,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.34 : 41,712.15 = 6,748.55 : x
  2. Step 2: Convert to fraction form
    27,808.34/41,712.15 = 6,748.55/x
  3. Step 3: Cross multiply
    27,808.34x = 41,712.15 × 6,748.55
  4. Step 4: Simplify right side
    27,808.34x = 281,496,321.32
  5. Step 5: Solve for x
    x = 281,496,321.32/27,808.34
  6. Step 6: Final answer
    x = 10,122.73

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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.