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Finding the Fourth Proportional to 11,923.89, 16,455.40 and 7,205.44

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Solution

The fourth proportional to 11,923.89, 16,455.40 and 7,205.44 is: 9,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.89 : 16,455.40 = 7,205.44 : x
  2. Step 2: Convert to fraction form
    11,923.89/16,455.40 = 7,205.44/x
  3. Step 3: Cross multiply
    11,923.89x = 16,455.40 × 7,205.44
  4. Step 4: Simplify right side
    11,923.89x = 118,568,397.38
  5. Step 5: Solve for x
    x = 118,568,397.38/11,923.89
  6. Step 6: Final answer
    x = 9,943.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.