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Finding the Fourth Proportional to 11,872.75, 16,383.90 and 6,567.23

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Solution

The fourth proportional to 11,872.75, 16,383.90 and 6,567.23 is: 9,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.75 : 16,383.90 = 6,567.23 : x
  2. Step 2: Convert to fraction form
    11,872.75/16,383.90 = 6,567.23/x
  3. Step 3: Cross multiply
    11,872.75x = 16,383.90 × 6,567.23
  4. Step 4: Simplify right side
    11,872.75x = 107,596,839.60
  5. Step 5: Solve for x
    x = 107,596,839.60/11,872.75
  6. Step 6: Final answer
    x = 9,062.50

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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.