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Finding the Fourth Proportional to 8,102.85, 11,178.65 and 4,960.86

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Solution

The fourth proportional to 8,102.85, 11,178.65 and 4,960.86 is: 6,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.85 : 11,178.65 = 4,960.86 : x
  2. Step 2: Convert to fraction form
    8,102.85/11,178.65 = 4,960.86/x
  3. Step 3: Cross multiply
    8,102.85x = 11,178.65 × 4,960.86
  4. Step 4: Simplify right side
    8,102.85x = 55,455,692.83
  5. Step 5: Solve for x
    x = 55,455,692.83/8,102.85
  6. Step 6: Final answer
    x = 6,843.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.