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Finding the Fourth Proportional to 11,622.12, 16,043.43 and 7,850.40

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Solution

The fourth proportional to 11,622.12, 16,043.43 and 7,850.40 is: 10,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.12 : 16,043.43 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    11,622.12/16,043.43 = 7,850.40/x
  3. Step 3: Cross multiply
    11,622.12x = 16,043.43 × 7,850.40
  4. Step 4: Simplify right side
    11,622.12x = 125,947,342.87
  5. Step 5: Solve for x
    x = 125,947,342.87/11,622.12
  6. Step 6: Final answer
    x = 10,836.86

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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.