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Finding the Fourth Proportional to 11,843.31, 16,343.67 and 6,465.70

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Solution

The fourth proportional to 11,843.31, 16,343.67 and 6,465.70 is: 8,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.31 : 16,343.67 = 6,465.70 : x
  2. Step 2: Convert to fraction form
    11,843.31/16,343.67 = 6,465.70/x
  3. Step 3: Cross multiply
    11,843.31x = 16,343.67 × 6,465.70
  4. Step 4: Simplify right side
    11,843.31x = 105,673,267.12
  5. Step 5: Solve for x
    x = 105,673,267.12/11,843.31
  6. Step 6: Final answer
    x = 8,922.61

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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.