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Finding the Fourth Proportional to 8,156.86, 12,233.67 and 2,960.98

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Solution

The fourth proportional to 8,156.86, 12,233.67 and 2,960.98 is: 4,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.86 : 12,233.67 = 2,960.98 : x
  2. Step 2: Convert to fraction form
    8,156.86/12,233.67 = 2,960.98/x
  3. Step 3: Cross multiply
    8,156.86x = 12,233.67 × 2,960.98
  4. Step 4: Simplify right side
    8,156.86x = 36,223,652.20
  5. Step 5: Solve for x
    x = 36,223,652.20/8,156.86
  6. Step 6: Final answer
    x = 4,440.88

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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.