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Finding the Fourth Proportional to 6,757.82, 10,139.76 and 4,291.98

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Solution

The fourth proportional to 6,757.82, 10,139.76 and 4,291.98 is: 6,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.82 : 10,139.76 = 4,291.98 : x
  2. Step 2: Convert to fraction form
    6,757.82/10,139.76 = 4,291.98/x
  3. Step 3: Cross multiply
    6,757.82x = 10,139.76 × 4,291.98
  4. Step 4: Simplify right side
    6,757.82x = 43,519,647.12
  5. Step 5: Solve for x
    x = 43,519,647.12/6,757.82
  6. Step 6: Final answer
    x = 6,439.89

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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.