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Finding the Fourth Proportional to 6,511.38, 9,767.10 and 2,616.12

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Solution

The fourth proportional to 6,511.38, 9,767.10 and 2,616.12 is: 3,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.38 : 9,767.10 = 2,616.12 : x
  2. Step 2: Convert to fraction form
    6,511.38/9,767.10 = 2,616.12/x
  3. Step 3: Cross multiply
    6,511.38x = 9,767.10 × 2,616.12
  4. Step 4: Simplify right side
    6,511.38x = 25,551,905.65
  5. Step 5: Solve for x
    x = 25,551,905.65/6,511.38
  6. Step 6: Final answer
    x = 3,924.19

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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.