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Finding the Fourth Proportional to 7,732.87, 11,589.80 and 3,567.10

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Solution

The fourth proportional to 7,732.87, 11,589.80 and 3,567.10 is: 5,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.87 : 11,589.80 = 3,567.10 : x
  2. Step 2: Convert to fraction form
    7,732.87/11,589.80 = 3,567.10/x
  3. Step 3: Cross multiply
    7,732.87x = 11,589.80 × 3,567.10
  4. Step 4: Simplify right side
    7,732.87x = 41,341,975.58
  5. Step 5: Solve for x
    x = 41,341,975.58/7,732.87
  6. Step 6: Final answer
    x = 5,346.27

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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.