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Finding the Fourth Proportional to 7,761.32, 11,642.07 and 2,567.19

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Solution

The fourth proportional to 7,761.32, 11,642.07 and 2,567.19 is: 3,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.32 : 11,642.07 = 2,567.19 : x
  2. Step 2: Convert to fraction form
    7,761.32/11,642.07 = 2,567.19/x
  3. Step 3: Cross multiply
    7,761.32x = 11,642.07 × 2,567.19
  4. Step 4: Simplify right side
    7,761.32x = 29,887,405.68
  5. Step 5: Solve for x
    x = 29,887,405.68/7,761.32
  6. Step 6: Final answer
    x = 3,850.82

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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.