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Finding the Fourth Proportional to 7,567.20, 11,369.26 and 7,147.56

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Solution

The fourth proportional to 7,567.20, 11,369.26 and 7,147.56 is: 10,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.20 : 11,369.26 = 7,147.56 : x
  2. Step 2: Convert to fraction form
    7,567.20/11,369.26 = 7,147.56/x
  3. Step 3: Cross multiply
    7,567.20x = 11,369.26 × 7,147.56
  4. Step 4: Simplify right side
    7,567.20x = 81,262,468.01
  5. Step 5: Solve for x
    x = 81,262,468.01/7,567.20
  6. Step 6: Final answer
    x = 10,738.78

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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.