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Finding the Fourth Proportional to 6,761.96, 10,142.30 and 4,796.01

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Solution

The fourth proportional to 6,761.96, 10,142.30 and 4,796.01 is: 7,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.96 : 10,142.30 = 4,796.01 : x
  2. Step 2: Convert to fraction form
    6,761.96/10,142.30 = 4,796.01/x
  3. Step 3: Cross multiply
    6,761.96x = 10,142.30 × 4,796.01
  4. Step 4: Simplify right side
    6,761.96x = 48,642,548.24
  5. Step 5: Solve for x
    x = 48,642,548.24/6,761.96
  6. Step 6: Final answer
    x = 7,193.56

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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.