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Finding the Fourth Proportional to 7,733, 11,589.99 and 3,567.22

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Solution

The fourth proportional to 7,733, 11,589.99 and 3,567.22 is: 5,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 11,589.99 = 3,567.22 : x
  2. Step 2: Convert to fraction form
    7,733/11,589.99 = 3,567.22/x
  3. Step 3: Cross multiply
    7,733x = 11,589.99 × 3,567.22
  4. Step 4: Simplify right side
    7,733x = 41,344,044.13
  5. Step 5: Solve for x
    x = 41,344,044.13/7,733
  6. Step 6: Final answer
    x = 5,346.44

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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.