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Finding the Fourth Proportional to 6,814.65, 10,221.97 and 2,431.08

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Solution

The fourth proportional to 6,814.65, 10,221.97 and 2,431.08 is: 3,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.65 : 10,221.97 = 2,431.08 : x
  2. Step 2: Convert to fraction form
    6,814.65/10,221.97 = 2,431.08/x
  3. Step 3: Cross multiply
    6,814.65x = 10,221.97 × 2,431.08
  4. Step 4: Simplify right side
    6,814.65x = 24,850,420.75
  5. Step 5: Solve for x
    x = 24,850,420.75/6,814.65
  6. Step 6: Final answer
    x = 3,646.62

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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.