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Finding the Fourth Proportional to 7,567.82, 11,354.99 and 2,889.23

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Solution

The fourth proportional to 7,567.82, 11,354.99 and 2,889.23 is: 4,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.82 : 11,354.99 = 2,889.23 : x
  2. Step 2: Convert to fraction form
    7,567.82/11,354.99 = 2,889.23/x
  3. Step 3: Cross multiply
    7,567.82x = 11,354.99 × 2,889.23
  4. Step 4: Simplify right side
    7,567.82x = 32,807,177.76
  5. Step 5: Solve for x
    x = 32,807,177.76/7,567.82
  6. Step 6: Final answer
    x = 4,335.09

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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.