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Finding the Fourth Proportional to 7,761.96, 11,641.50 and 2,567.16

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Solution

The fourth proportional to 7,761.96, 11,641.50 and 2,567.16 is: 3,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.96 : 11,641.50 = 2,567.16 : x
  2. Step 2: Convert to fraction form
    7,761.96/11,641.50 = 2,567.16/x
  3. Step 3: Cross multiply
    7,761.96x = 11,641.50 × 2,567.16
  4. Step 4: Simplify right side
    7,761.96x = 29,885,593.14
  5. Step 5: Solve for x
    x = 29,885,593.14/7,761.96
  6. Step 6: Final answer
    x = 3,850.26

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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.