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Finding the Fourth Proportional to 6,511.54, 9,753.12 and 3,382.10

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Solution

The fourth proportional to 6,511.54, 9,753.12 and 3,382.10 is: 5,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.54 : 9,753.12 = 3,382.10 : x
  2. Step 2: Convert to fraction form
    6,511.54/9,753.12 = 3,382.10/x
  3. Step 3: Cross multiply
    6,511.54x = 9,753.12 × 3,382.10
  4. Step 4: Simplify right side
    6,511.54x = 32,986,027.15
  5. Step 5: Solve for x
    x = 32,986,027.15/6,511.54
  6. Step 6: Final answer
    x = 5,065.78

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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.