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Finding the Fourth Proportional to 7,567.53, 11,350.72 and 3,406.42

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Solution

The fourth proportional to 7,567.53, 11,350.72 and 3,406.42 is: 5,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.53 : 11,350.72 = 3,406.42 : x
  2. Step 2: Convert to fraction form
    7,567.53/11,350.72 = 3,406.42/x
  3. Step 3: Cross multiply
    7,567.53x = 11,350.72 × 3,406.42
  4. Step 4: Simplify right side
    7,567.53x = 38,665,319.62
  5. Step 5: Solve for x
    x = 38,665,319.62/7,567.53
  6. Step 6: Final answer
    x = 5,109.37

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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.