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Finding the Fourth Proportional to 11,022.34, 16,543.46 and 7,455.83

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Solution

The fourth proportional to 11,022.34, 16,543.46 and 7,455.83 is: 11,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.34 : 16,543.46 = 7,455.83 : x
  2. Step 2: Convert to fraction form
    11,022.34/16,543.46 = 7,455.83/x
  3. Step 3: Cross multiply
    11,022.34x = 16,543.46 × 7,455.83
  4. Step 4: Simplify right side
    11,022.34x = 123,345,229.45
  5. Step 5: Solve for x
    x = 123,345,229.45/11,022.34
  6. Step 6: Final answer
    x = 11,190.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.