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Finding the Fourth Proportional to 10,311.45, 14,193.68 and 8,982.85

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Solution

The fourth proportional to 10,311.45, 14,193.68 and 8,982.85 is: 12,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.45 : 14,193.68 = 8,982.85 : x
  2. Step 2: Convert to fraction form
    10,311.45/14,193.68 = 8,982.85/x
  3. Step 3: Cross multiply
    10,311.45x = 14,193.68 × 8,982.85
  4. Step 4: Simplify right side
    10,311.45x = 127,499,695.13
  5. Step 5: Solve for x
    x = 127,499,695.13/10,311.45
  6. Step 6: Final answer
    x = 12,364.86

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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.