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Finding the Fourth Proportional to 7,797.96, 10,761.03 and 4,261.14

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Solution

The fourth proportional to 7,797.96, 10,761.03 and 4,261.14 is: 5,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.96 : 10,761.03 = 4,261.14 : x
  2. Step 2: Convert to fraction form
    7,797.96/10,761.03 = 4,261.14/x
  3. Step 3: Cross multiply
    7,797.96x = 10,761.03 × 4,261.14
  4. Step 4: Simplify right side
    7,797.96x = 45,854,255.37
  5. Step 5: Solve for x
    x = 45,854,255.37/7,797.96
  6. Step 6: Final answer
    x = 5,880.29

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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.