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Finding the Fourth Proportional to 11,942.55, 16,482.06 and 7,229.43

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Solution

The fourth proportional to 11,942.55, 16,482.06 and 7,229.43 is: 9,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.55 : 16,482.06 = 7,229.43 : x
  2. Step 2: Convert to fraction form
    11,942.55/16,482.06 = 7,229.43/x
  3. Step 3: Cross multiply
    11,942.55x = 16,482.06 × 7,229.43
  4. Step 4: Simplify right side
    11,942.55x = 119,155,899.03
  5. Step 5: Solve for x
    x = 119,155,899.03/11,942.55
  6. Step 6: Final answer
    x = 9,977.43

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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.