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Finding the Fourth Proportional to 6,759.54, 10,146.60 and 5,675.76

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Solution

The fourth proportional to 6,759.54, 10,146.60 and 5,675.76 is: 8,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.54 : 10,146.60 = 5,675.76 : x
  2. Step 2: Convert to fraction form
    6,759.54/10,146.60 = 5,675.76/x
  3. Step 3: Cross multiply
    6,759.54x = 10,146.60 × 5,675.76
  4. Step 4: Simplify right side
    6,759.54x = 57,589,666.42
  5. Step 5: Solve for x
    x = 57,589,666.42/6,759.54
  6. Step 6: Final answer
    x = 8,519.76

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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.