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Finding the Fourth Proportional to 8,049.78, 12,078.11 and 4,156.92

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Solution

The fourth proportional to 8,049.78, 12,078.11 and 4,156.92 is: 6,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.78 : 12,078.11 = 4,156.92 : x
  2. Step 2: Convert to fraction form
    8,049.78/12,078.11 = 4,156.92/x
  3. Step 3: Cross multiply
    8,049.78x = 12,078.11 × 4,156.92
  4. Step 4: Simplify right side
    8,049.78x = 50,207,747.41
  5. Step 5: Solve for x
    x = 50,207,747.41/8,049.78
  6. Step 6: Final answer
    x = 6,237.16

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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.