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Finding the Fourth Proportional to 8,092.34, 12,143.15 and 3,709.84

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Solution

The fourth proportional to 8,092.34, 12,143.15 and 3,709.84 is: 5,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.34 : 12,143.15 = 3,709.84 : x
  2. Step 2: Convert to fraction form
    8,092.34/12,143.15 = 3,709.84/x
  3. Step 3: Cross multiply
    8,092.34x = 12,143.15 × 3,709.84
  4. Step 4: Simplify right side
    8,092.34x = 45,049,064.33
  5. Step 5: Solve for x
    x = 45,049,064.33/8,092.34
  6. Step 6: Final answer
    x = 5,566.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.