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Finding the Fourth Proportional to 7,761.81, 11,643.94 and 2,568.90

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Solution

The fourth proportional to 7,761.81, 11,643.94 and 2,568.90 is: 3,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.81 : 11,643.94 = 2,568.90 : x
  2. Step 2: Convert to fraction form
    7,761.81/11,643.94 = 2,568.90/x
  3. Step 3: Cross multiply
    7,761.81x = 11,643.94 × 2,568.90
  4. Step 4: Simplify right side
    7,761.81x = 29,912,117.47
  5. Step 5: Solve for x
    x = 29,912,117.47/7,761.81
  6. Step 6: Final answer
    x = 3,853.76

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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.