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Finding the Fourth Proportional to 6,511.89, 9,754.02 and 3,004.77

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Solution

The fourth proportional to 6,511.89, 9,754.02 and 3,004.77 is: 4,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.89 : 9,754.02 = 3,004.77 : x
  2. Step 2: Convert to fraction form
    6,511.89/9,754.02 = 3,004.77/x
  3. Step 3: Cross multiply
    6,511.89x = 9,754.02 × 3,004.77
  4. Step 4: Simplify right side
    6,511.89x = 29,308,586.68
  5. Step 5: Solve for x
    x = 29,308,586.68/6,511.89
  6. Step 6: Final answer
    x = 4,500.78

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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.