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Finding the Fourth Proportional to 11,149.75, 15,384.33 and 7,567.48

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Solution

The fourth proportional to 11,149.75, 15,384.33 and 7,567.48 is: 10,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.75 : 15,384.33 = 7,567.48 : x
  2. Step 2: Convert to fraction form
    11,149.75/15,384.33 = 7,567.48/x
  3. Step 3: Cross multiply
    11,149.75x = 15,384.33 × 7,567.48
  4. Step 4: Simplify right side
    11,149.75x = 116,420,542.28
  5. Step 5: Solve for x
    x = 116,420,542.28/11,149.75
  6. Step 6: Final answer
    x = 10,441.54

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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.