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Finding the Fourth Proportional to 11,752.13, 16,217.85 and 6,446.93

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Solution

The fourth proportional to 11,752.13, 16,217.85 and 6,446.93 is: 8,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.13 : 16,217.85 = 6,446.93 : x
  2. Step 2: Convert to fraction form
    11,752.13/16,217.85 = 6,446.93/x
  3. Step 3: Cross multiply
    11,752.13x = 16,217.85 × 6,446.93
  4. Step 4: Simplify right side
    11,752.13x = 104,555,343.70
  5. Step 5: Solve for x
    x = 104,555,343.70/11,752.13
  6. Step 6: Final answer
    x = 8,896.71

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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.