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Finding the Fourth Proportional to 7,797.75, 10,761.15 and 4,261.19

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Solution

The fourth proportional to 7,797.75, 10,761.15 and 4,261.19 is: 5,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.75 : 10,761.15 = 4,261.19 : x
  2. Step 2: Convert to fraction form
    7,797.75/10,761.15 = 4,261.19/x
  3. Step 3: Cross multiply
    7,797.75x = 10,761.15 × 4,261.19
  4. Step 4: Simplify right side
    7,797.75x = 45,855,250.96
  5. Step 5: Solve for x
    x = 45,855,250.96/7,797.75
  6. Step 6: Final answer
    x = 5,880.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.